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Finding the Third Proportional to 653,664 and 1,545,526

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Solution

The third proportional to 653,664 and 1,545,526 is: 3,654,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,664 : 1,545,526 = 1,545,526 : x
  2. Step 2: Convert to fraction form
    653,664/1,545,526 = 1,545,526/x
  3. Step 3: Cross multiply
    653,664x = 1,545,526 × 1,545,526
  4. Step 4: Simplify right side
    653,664x = 2,388,650,616,676
  5. Step 5: Solve for x
    x = 2,388,650,616,676/653,664
  6. Step 6: Final answer
    x = 3,654,248.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.