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Finding the Third Proportional to 653,643 and 891,123.19

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Solution

The third proportional to 653,643 and 891,123.19 is: 1,214,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,643 : 891,123.19 = 891,123.19 : x
  2. Step 2: Convert to fraction form
    653,643/891,123.19 = 891,123.19/x
  3. Step 3: Cross multiply
    653,643x = 891,123.19 × 891,123.19
  4. Step 4: Simplify right side
    653,643x = 794,100,535,300.16
  5. Step 5: Solve for x
    x = 794,100,535,300.16/653,643
  6. Step 6: Final answer
    x = 1,214,884.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.