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Finding the Third Proportional to 735,624 and 1,124,820

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Solution

The third proportional to 735,624 and 1,124,820 is: 1,719,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,624 : 1,124,820 = 1,124,820 : x
  2. Step 2: Convert to fraction form
    735,624/1,124,820 = 1,124,820/x
  3. Step 3: Cross multiply
    735,624x = 1,124,820 × 1,124,820
  4. Step 4: Simplify right side
    735,624x = 1,265,220,032,400
  5. Step 5: Solve for x
    x = 1,265,220,032,400/735,624
  6. Step 6: Final answer
    x = 1,719,927.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.