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Finding the Third Proportional to 713,699 and 1,486,609

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Solution

The third proportional to 713,699 and 1,486,609 is: 3,096,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,699 : 1,486,609 = 1,486,609 : x
  2. Step 2: Convert to fraction form
    713,699/1,486,609 = 1,486,609/x
  3. Step 3: Cross multiply
    713,699x = 1,486,609 × 1,486,609
  4. Step 4: Simplify right side
    713,699x = 2,210,006,318,881
  5. Step 5: Solve for x
    x = 2,210,006,318,881/713,699
  6. Step 6: Final answer
    x = 3,096,552.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.