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Finding the Third Proportional to 690,895.50 and 1,016,586

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Solution

The third proportional to 690,895.50 and 1,016,586 is: 1,495,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,895.50 : 1,016,586 = 1,016,586 : x
  2. Step 2: Convert to fraction form
    690,895.50/1,016,586 = 1,016,586/x
  3. Step 3: Cross multiply
    690,895.50x = 1,016,586 × 1,016,586
  4. Step 4: Simplify right side
    690,895.50x = 1,033,447,095,396
  5. Step 5: Solve for x
    x = 1,033,447,095,396/690,895.50
  6. Step 6: Final answer
    x = 1,495,808.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.