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Finding the Third Proportional to 666,470 and 1,032,267

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Solution

The third proportional to 666,470 and 1,032,267 is: 1,598,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,470 : 1,032,267 = 1,032,267 : x
  2. Step 2: Convert to fraction form
    666,470/1,032,267 = 1,032,267/x
  3. Step 3: Cross multiply
    666,470x = 1,032,267 × 1,032,267
  4. Step 4: Simplify right side
    666,470x = 1,065,575,159,289
  5. Step 5: Solve for x
    x = 1,065,575,159,289/666,470
  6. Step 6: Final answer
    x = 1,598,834.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.