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Finding the Third Proportional to 1,030,864 and 2,132,441

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Solution

The third proportional to 1,030,864 and 2,132,441 is: 4,411,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,864 : 2,132,441 = 2,132,441 : x
  2. Step 2: Convert to fraction form
    1,030,864/2,132,441 = 2,132,441/x
  3. Step 3: Cross multiply
    1,030,864x = 2,132,441 × 2,132,441
  4. Step 4: Simplify right side
    1,030,864x = 4,547,304,618,481
  5. Step 5: Solve for x
    x = 4,547,304,618,481/1,030,864
  6. Step 6: Final answer
    x = 4,411,158.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.