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Finding the Third Proportional to 407,442,884.06 and 882,573,794.02

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Solution

The third proportional to 407,442,884.06 and 882,573,794.02 is: 1,911,768,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,442,884.06 : 882,573,794.02 = 882,573,794.02 : x
  2. Step 2: Convert to fraction form
    407,442,884.06/882,573,794.02 = 882,573,794.02/x
  3. Step 3: Cross multiply
    407,442,884.06x = 882,573,794.02 × 882,573,794.02
  4. Step 4: Simplify right side
    407,442,884.06x = 778,936,501,883,161,344
  5. Step 5: Solve for x
    x = 778,936,501,883,161,344/407,442,884.06
  6. Step 6: Final answer
    x = 1,911,768,575.06

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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.