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Finding the Third Proportional to 790,066 and 1,213,587

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Solution

The third proportional to 790,066 and 1,213,587 is: 1,864,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,066 : 1,213,587 = 1,213,587 : x
  2. Step 2: Convert to fraction form
    790,066/1,213,587 = 1,213,587/x
  3. Step 3: Cross multiply
    790,066x = 1,213,587 × 1,213,587
  4. Step 4: Simplify right side
    790,066x = 1,472,793,406,569
  5. Step 5: Solve for x
    x = 1,472,793,406,569/790,066
  6. Step 6: Final answer
    x = 1,864,139.71

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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.