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Finding the Third Proportional to 586,720,226 and 1,243,379,524

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Solution

The third proportional to 586,720,226 and 1,243,379,524 is: 2,634,974,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,720,226 : 1,243,379,524 = 1,243,379,524 : x
  2. Step 2: Convert to fraction form
    586,720,226/1,243,379,524 = 1,243,379,524/x
  3. Step 3: Cross multiply
    586,720,226x = 1,243,379,524 × 1,243,379,524
  4. Step 4: Simplify right side
    586,720,226x = 1,545,992,640,702,466,560
  5. Step 5: Solve for x
    x = 1,545,992,640,702,466,560/586,720,226
  6. Step 6: Final answer
    x = 2,634,974,170.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.