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Finding the Third Proportional to 752,465 and 1,165,598

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Solution

The third proportional to 752,465 and 1,165,598 is: 1,805,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,465 : 1,165,598 = 1,165,598 : x
  2. Step 2: Convert to fraction form
    752,465/1,165,598 = 1,165,598/x
  3. Step 3: Cross multiply
    752,465x = 1,165,598 × 1,165,598
  4. Step 4: Simplify right side
    752,465x = 1,358,618,697,604
  5. Step 5: Solve for x
    x = 1,358,618,697,604/752,465
  6. Step 6: Final answer
    x = 1,805,557.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.