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Finding the Third Proportional to 747,732 and 1,130,520

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Solution

The third proportional to 747,732 and 1,130,520 is: 1,709,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,732 : 1,130,520 = 1,130,520 : x
  2. Step 2: Convert to fraction form
    747,732/1,130,520 = 1,130,520/x
  3. Step 3: Cross multiply
    747,732x = 1,130,520 × 1,130,520
  4. Step 4: Simplify right side
    747,732x = 1,278,075,470,400
  5. Step 5: Solve for x
    x = 1,278,075,470,400/747,732
  6. Step 6: Final answer
    x = 1,709,269.46

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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.