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Finding the Third Proportional to 718,080 and 1,513,920

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Solution

The third proportional to 718,080 and 1,513,920 is: 3,191,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,080 : 1,513,920 = 1,513,920 : x
  2. Step 2: Convert to fraction form
    718,080/1,513,920 = 1,513,920/x
  3. Step 3: Cross multiply
    718,080x = 1,513,920 × 1,513,920
  4. Step 4: Simplify right side
    718,080x = 2,291,953,766,400
  5. Step 5: Solve for x
    x = 2,291,953,766,400/718,080
  6. Step 6: Final answer
    x = 3,191,780.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.