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Finding the Third Proportional to 666,748 and 1,437,746

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Solution

The third proportional to 666,748 and 1,437,746 is: 3,100,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,748 : 1,437,746 = 1,437,746 : x
  2. Step 2: Convert to fraction form
    666,748/1,437,746 = 1,437,746/x
  3. Step 3: Cross multiply
    666,748x = 1,437,746 × 1,437,746
  4. Step 4: Simplify right side
    666,748x = 2,067,113,560,516
  5. Step 5: Solve for x
    x = 2,067,113,560,516/666,748
  6. Step 6: Final answer
    x = 3,100,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.