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Finding the Third Proportional to 529,448 and 1,141,840

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Solution

The third proportional to 529,448 and 1,141,840 is: 2,462,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,448 : 1,141,840 = 1,141,840 : x
  2. Step 2: Convert to fraction form
    529,448/1,141,840 = 1,141,840/x
  3. Step 3: Cross multiply
    529,448x = 1,141,840 × 1,141,840
  4. Step 4: Simplify right side
    529,448x = 1,303,798,585,600
  5. Step 5: Solve for x
    x = 1,303,798,585,600/529,448
  6. Step 6: Final answer
    x = 2,462,562.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.