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Finding the Third Proportional to 358,995,537 and 786,092,340

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Solution

The third proportional to 358,995,537 and 786,092,340 is: 1,721,305,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,995,537 : 786,092,340 = 786,092,340 : x
  2. Step 2: Convert to fraction form
    358,995,537/786,092,340 = 786,092,340/x
  3. Step 3: Cross multiply
    358,995,537x = 786,092,340 × 786,092,340
  4. Step 4: Simplify right side
    358,995,537x = 617,941,167,006,675,584
  5. Step 5: Solve for x
    x = 617,941,167,006,675,584/358,995,537
  6. Step 6: Final answer
    x = 1,721,305,986.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.