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Finding the Third Proportional to 421,472 and 912,928

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Solution

The third proportional to 421,472 and 912,928 is: 1,977,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,472 : 912,928 = 912,928 : x
  2. Step 2: Convert to fraction form
    421,472/912,928 = 912,928/x
  3. Step 3: Cross multiply
    421,472x = 912,928 × 912,928
  4. Step 4: Simplify right side
    421,472x = 833,437,533,184
  5. Step 5: Solve for x
    x = 833,437,533,184/421,472
  6. Step 6: Final answer
    x = 1,977,444.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.