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Finding the Third Proportional to 582,332 and 1,234,648

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Solution

The third proportional to 582,332 and 1,234,648 is: 2,617,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,332 : 1,234,648 = 1,234,648 : x
  2. Step 2: Convert to fraction form
    582,332/1,234,648 = 1,234,648/x
  3. Step 3: Cross multiply
    582,332x = 1,234,648 × 1,234,648
  4. Step 4: Simplify right side
    582,332x = 1,524,355,683,904
  5. Step 5: Solve for x
    x = 1,524,355,683,904/582,332
  6. Step 6: Final answer
    x = 2,617,674.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.