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Finding the Third Proportional to 1,189,497 and 1,695,669

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Solution

The third proportional to 1,189,497 and 1,695,669 is: 2,417,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,497 : 1,695,669 = 1,695,669 : x
  2. Step 2: Convert to fraction form
    1,189,497/1,695,669 = 1,695,669/x
  3. Step 3: Cross multiply
    1,189,497x = 1,695,669 × 1,695,669
  4. Step 4: Simplify right side
    1,189,497x = 2,875,293,357,561
  5. Step 5: Solve for x
    x = 2,875,293,357,561/1,189,497
  6. Step 6: Final answer
    x = 2,417,234.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.