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Finding the Third Proportional to 407,442,482.25 and 882,572,904.75

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Solution

The third proportional to 407,442,482.25 and 882,572,904.75 is: 1,911,766,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,442,482.25 : 882,572,904.75 = 882,572,904.75 : x
  2. Step 2: Convert to fraction form
    407,442,482.25/882,572,904.75 = 882,572,904.75/x
  3. Step 3: Cross multiply
    407,442,482.25x = 882,572,904.75 × 882,572,904.75
  4. Step 4: Simplify right side
    407,442,482.25x = 778,934,932,198,852,608
  5. Step 5: Solve for x
    x = 778,934,932,198,852,608/407,442,482.25
  6. Step 6: Final answer
    x = 1,911,766,607.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.