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Finding the Third Proportional to 585,413,038 and 1,156,020,566

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Solution

The third proportional to 585,413,038 and 1,156,020,566 is: 2,282,804,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,413,038 : 1,156,020,566 = 1,156,020,566 : x
  2. Step 2: Convert to fraction form
    585,413,038/1,156,020,566 = 1,156,020,566/x
  3. Step 3: Cross multiply
    585,413,038x = 1,156,020,566 × 1,156,020,566
  4. Step 4: Simplify right side
    585,413,038x = 1,336,383,549,014,960,384
  5. Step 5: Solve for x
    x = 1,336,383,549,014,960,384/585,413,038
  6. Step 6: Final answer
    x = 2,282,804,553.83

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.