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Finding the Third Proportional to 1,012,512.66 and 1,478,787.89

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Solution

The third proportional to 1,012,512.66 and 1,478,787.89 is: 2,159,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,512.66 : 1,478,787.89 = 1,478,787.89 : x
  2. Step 2: Convert to fraction form
    1,012,512.66/1,478,787.89 = 1,478,787.89/x
  3. Step 3: Cross multiply
    1,012,512.66x = 1,478,787.89 × 1,478,787.89
  4. Step 4: Simplify right side
    1,012,512.66x = 2,186,813,625,459.14
  5. Step 5: Solve for x
    x = 2,186,813,625,459.14/1,012,512.66
  6. Step 6: Final answer
    x = 2,159,788.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.