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Finding the Third Proportional to 653,838 and 1,400,988

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Solution

The third proportional to 653,838 and 1,400,988 is: 3,001,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,838 : 1,400,988 = 1,400,988 : x
  2. Step 2: Convert to fraction form
    653,838/1,400,988 = 1,400,988/x
  3. Step 3: Cross multiply
    653,838x = 1,400,988 × 1,400,988
  4. Step 4: Simplify right side
    653,838x = 1,962,767,376,144
  5. Step 5: Solve for x
    x = 1,962,767,376,144/653,838
  6. Step 6: Final answer
    x = 3,001,916.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.