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Finding the Third Proportional to 1,070,451 and 1,565,490

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Solution

The third proportional to 1,070,451 and 1,565,490 is: 2,289,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,451 : 1,565,490 = 1,565,490 : x
  2. Step 2: Convert to fraction form
    1,070,451/1,565,490 = 1,565,490/x
  3. Step 3: Cross multiply
    1,070,451x = 1,565,490 × 1,565,490
  4. Step 4: Simplify right side
    1,070,451x = 2,450,758,940,100
  5. Step 5: Solve for x
    x = 2,450,758,940,100/1,070,451
  6. Step 6: Final answer
    x = 2,289,463.92

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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.