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Finding the Third Proportional to 1,154,448 and 1,686,984

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Solution

The third proportional to 1,154,448 and 1,686,984 is: 2,465,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,448 : 1,686,984 = 1,686,984 : x
  2. Step 2: Convert to fraction form
    1,154,448/1,686,984 = 1,686,984/x
  3. Step 3: Cross multiply
    1,154,448x = 1,686,984 × 1,686,984
  4. Step 4: Simplify right side
    1,154,448x = 2,845,915,016,256
  5. Step 5: Solve for x
    x = 2,845,915,016,256/1,154,448
  6. Step 6: Final answer
    x = 2,465,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.