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Finding the Third Proportional to 720,399 and 1,567,646

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Solution

The third proportional to 720,399 and 1,567,646 is: 3,411,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,399 : 1,567,646 = 1,567,646 : x
  2. Step 2: Convert to fraction form
    720,399/1,567,646 = 1,567,646/x
  3. Step 3: Cross multiply
    720,399x = 1,567,646 × 1,567,646
  4. Step 4: Simplify right side
    720,399x = 2,457,513,981,316
  5. Step 5: Solve for x
    x = 2,457,513,981,316/720,399
  6. Step 6: Final answer
    x = 3,411,323.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.