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Finding the Third Proportional to 621,681 and 1,287,588

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Solution

The third proportional to 621,681 and 1,287,588 is: 2,666,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,681 : 1,287,588 = 1,287,588 : x
  2. Step 2: Convert to fraction form
    621,681/1,287,588 = 1,287,588/x
  3. Step 3: Cross multiply
    621,681x = 1,287,588 × 1,287,588
  4. Step 4: Simplify right side
    621,681x = 1,657,882,857,744
  5. Step 5: Solve for x
    x = 1,657,882,857,744/621,681
  6. Step 6: Final answer
    x = 2,666,774.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.