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Finding the Third Proportional to 653,884 and 1,012,904

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Solution

The third proportional to 653,884 and 1,012,904 is: 1,569,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,884 : 1,012,904 = 1,012,904 : x
  2. Step 2: Convert to fraction form
    653,884/1,012,904 = 1,012,904/x
  3. Step 3: Cross multiply
    653,884x = 1,012,904 × 1,012,904
  4. Step 4: Simplify right side
    653,884x = 1,025,974,513,216
  5. Step 5: Solve for x
    x = 1,025,974,513,216/653,884
  6. Step 6: Final answer
    x = 1,569,046.67

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