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Finding the Third Proportional to 972,266.50 and 1,400,489

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Solution

The third proportional to 972,266.50 and 1,400,489 is: 2,017,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,266.50 : 1,400,489 = 1,400,489 : x
  2. Step 2: Convert to fraction form
    972,266.50/1,400,489 = 1,400,489/x
  3. Step 3: Cross multiply
    972,266.50x = 1,400,489 × 1,400,489
  4. Step 4: Simplify right side
    972,266.50x = 1,961,369,439,121
  5. Step 5: Solve for x
    x = 1,961,369,439,121/972,266.50
  6. Step 6: Final answer
    x = 2,017,316.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.