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Finding the Third Proportional to 652,381 and 1,349,528

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Solution

The third proportional to 652,381 and 1,349,528 is: 2,791,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,381 : 1,349,528 = 1,349,528 : x
  2. Step 2: Convert to fraction form
    652,381/1,349,528 = 1,349,528/x
  3. Step 3: Cross multiply
    652,381x = 1,349,528 × 1,349,528
  4. Step 4: Simplify right side
    652,381x = 1,821,225,822,784
  5. Step 5: Solve for x
    x = 1,821,225,822,784/652,381
  6. Step 6: Final answer
    x = 2,791,659.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.