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Finding the Third Proportional to 415,373,402 and 886,342,396

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Solution

The third proportional to 415,373,402 and 886,342,396 is: 1,891,317,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,373,402 : 886,342,396 = 886,342,396 : x
  2. Step 2: Convert to fraction form
    415,373,402/886,342,396 = 886,342,396/x
  3. Step 3: Cross multiply
    415,373,402x = 886,342,396 × 886,342,396
  4. Step 4: Simplify right side
    415,373,402x = 785,602,842,947,020,800
  5. Step 5: Solve for x
    x = 785,602,842,947,020,800/415,373,402
  6. Step 6: Final answer
    x = 1,891,317,159.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.