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Finding the Third Proportional to 698,691 and 1,051,535

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Solution

The third proportional to 698,691 and 1,051,535 is: 1,582,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,691 : 1,051,535 = 1,051,535 : x
  2. Step 2: Convert to fraction form
    698,691/1,051,535 = 1,051,535/x
  3. Step 3: Cross multiply
    698,691x = 1,051,535 × 1,051,535
  4. Step 4: Simplify right side
    698,691x = 1,105,725,856,225
  5. Step 5: Solve for x
    x = 1,105,725,856,225/698,691
  6. Step 6: Final answer
    x = 1,582,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.