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Finding the Third Proportional to 716,616 and 1,035,920

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Solution

The third proportional to 716,616 and 1,035,920 is: 1,497,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,616 : 1,035,920 = 1,035,920 : x
  2. Step 2: Convert to fraction form
    716,616/1,035,920 = 1,035,920/x
  3. Step 3: Cross multiply
    716,616x = 1,035,920 × 1,035,920
  4. Step 4: Simplify right side
    716,616x = 1,073,130,246,400
  5. Step 5: Solve for x
    x = 1,073,130,246,400/716,616
  6. Step 6: Final answer
    x = 1,497,496.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.