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Finding the Third Proportional to 1,196,588 and 1,776,092

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Solution

The third proportional to 1,196,588 and 1,776,092 is: 2,636,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,588 : 1,776,092 = 1,776,092 : x
  2. Step 2: Convert to fraction form
    1,196,588/1,776,092 = 1,776,092/x
  3. Step 3: Cross multiply
    1,196,588x = 1,776,092 × 1,776,092
  4. Step 4: Simplify right side
    1,196,588x = 3,154,502,792,464
  5. Step 5: Solve for x
    x = 3,154,502,792,464/1,196,588
  6. Step 6: Final answer
    x = 2,636,248.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.