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Finding the Third Proportional to 587,420 and 1,251,646

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Solution

The third proportional to 587,420 and 1,251,646 is: 2,666,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,420 : 1,251,646 = 1,251,646 : x
  2. Step 2: Convert to fraction form
    587,420/1,251,646 = 1,251,646/x
  3. Step 3: Cross multiply
    587,420x = 1,251,646 × 1,251,646
  4. Step 4: Simplify right side
    587,420x = 1,566,617,709,316
  5. Step 5: Solve for x
    x = 1,566,617,709,316/587,420
  6. Step 6: Final answer
    x = 2,666,946.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.