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Finding the Third Proportional to 693,725 and 1,513,498

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Solution

The third proportional to 693,725 and 1,513,498 is: 3,301,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,725 : 1,513,498 = 1,513,498 : x
  2. Step 2: Convert to fraction form
    693,725/1,513,498 = 1,513,498/x
  3. Step 3: Cross multiply
    693,725x = 1,513,498 × 1,513,498
  4. Step 4: Simplify right side
    693,725x = 2,290,676,196,004
  5. Step 5: Solve for x
    x = 2,290,676,196,004/693,725
  6. Step 6: Final answer
    x = 3,301,994.59

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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.