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Finding the Third Proportional to 422,710,870.50 and 857,307,411

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Solution

The third proportional to 422,710,870.50 and 857,307,411 is: 1,738,720,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,710,870.50 : 857,307,411 = 857,307,411 : x
  2. Step 2: Convert to fraction form
    422,710,870.50/857,307,411 = 857,307,411/x
  3. Step 3: Cross multiply
    422,710,870.50x = 857,307,411 × 857,307,411
  4. Step 4: Simplify right side
    422,710,870.50x = 734,975,996,955,522,944
  5. Step 5: Solve for x
    x = 734,975,996,955,522,944/422,710,870.50
  6. Step 6: Final answer
    x = 1,738,720,360.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.