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Finding the Third Proportional to 1,473,414 and 2,275,209

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Solution

The third proportional to 1,473,414 and 2,275,209 is: 3,513,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,414 : 2,275,209 = 2,275,209 : x
  2. Step 2: Convert to fraction form
    1,473,414/2,275,209 = 2,275,209/x
  3. Step 3: Cross multiply
    1,473,414x = 2,275,209 × 2,275,209
  4. Step 4: Simplify right side
    1,473,414x = 5,176,575,993,681
  5. Step 5: Solve for x
    x = 5,176,575,993,681/1,473,414
  6. Step 6: Final answer
    x = 3,513,320.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.