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Finding the Third Proportional to 832,368 and 1,246,272

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Solution

The third proportional to 832,368 and 1,246,272 is: 1,865,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,368 : 1,246,272 = 1,246,272 : x
  2. Step 2: Convert to fraction form
    832,368/1,246,272 = 1,246,272/x
  3. Step 3: Cross multiply
    832,368x = 1,246,272 × 1,246,272
  4. Step 4: Simplify right side
    832,368x = 1,553,193,897,984
  5. Step 5: Solve for x
    x = 1,553,193,897,984/832,368
  6. Step 6: Final answer
    x = 1,865,994.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.