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Finding the Third Proportional to 747,724 and 1,130,506

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Solution

The third proportional to 747,724 and 1,130,506 is: 1,709,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,724 : 1,130,506 = 1,130,506 : x
  2. Step 2: Convert to fraction form
    747,724/1,130,506 = 1,130,506/x
  3. Step 3: Cross multiply
    747,724x = 1,130,506 × 1,130,506
  4. Step 4: Simplify right side
    747,724x = 1,278,043,816,036
  5. Step 5: Solve for x
    x = 1,278,043,816,036/747,724
  6. Step 6: Final answer
    x = 1,709,245.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.