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Finding the Third Proportional to 1,417,580 and 3,031,864

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Solution

The third proportional to 1,417,580 and 3,031,864 is: 6,484,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,580 : 3,031,864 = 3,031,864 : x
  2. Step 2: Convert to fraction form
    1,417,580/3,031,864 = 3,031,864/x
  3. Step 3: Cross multiply
    1,417,580x = 3,031,864 × 3,031,864
  4. Step 4: Simplify right side
    1,417,580x = 9,192,199,314,496
  5. Step 5: Solve for x
    x = 9,192,199,314,496/1,417,580
  6. Step 6: Final answer
    x = 6,484,430.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.