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Finding the Third Proportional to 728,465 and 1,105,820

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Solution

The third proportional to 728,465 and 1,105,820 is: 1,678,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,465 : 1,105,820 = 1,105,820 : x
  2. Step 2: Convert to fraction form
    728,465/1,105,820 = 1,105,820/x
  3. Step 3: Cross multiply
    728,465x = 1,105,820 × 1,105,820
  4. Step 4: Simplify right side
    728,465x = 1,222,837,872,400
  5. Step 5: Solve for x
    x = 1,222,837,872,400/728,465
  6. Step 6: Final answer
    x = 1,678,650.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.