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Finding the Third Proportional to 1,427,382 and 2,101,646.25

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Solution

The third proportional to 1,427,382 and 2,101,646.25 is: 3,094,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,382 : 2,101,646.25 = 2,101,646.25 : x
  2. Step 2: Convert to fraction form
    1,427,382/2,101,646.25 = 2,101,646.25/x
  3. Step 3: Cross multiply
    1,427,382x = 2,101,646.25 × 2,101,646.25
  4. Step 4: Simplify right side
    1,427,382x = 4,416,916,960,139.06
  5. Step 5: Solve for x
    x = 4,416,916,960,139.06/1,427,382
  6. Step 6: Final answer
    x = 3,094,418.28

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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.