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Finding the Third Proportional to 583,752 and 1,282,432

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Solution

The third proportional to 583,752 and 1,282,432 is: 2,817,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,752 : 1,282,432 = 1,282,432 : x
  2. Step 2: Convert to fraction form
    583,752/1,282,432 = 1,282,432/x
  3. Step 3: Cross multiply
    583,752x = 1,282,432 × 1,282,432
  4. Step 4: Simplify right side
    583,752x = 1,644,631,834,624
  5. Step 5: Solve for x
    x = 1,644,631,834,624/583,752
  6. Step 6: Final answer
    x = 2,817,346.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.