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Finding the Third Proportional to 966,730 and 2,073,424

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Solution

The third proportional to 966,730 and 2,073,424 is: 4,447,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,730 : 2,073,424 = 2,073,424 : x
  2. Step 2: Convert to fraction form
    966,730/2,073,424 = 2,073,424/x
  3. Step 3: Cross multiply
    966,730x = 2,073,424 × 2,073,424
  4. Step 4: Simplify right side
    966,730x = 4,299,087,083,776
  5. Step 5: Solve for x
    x = 4,299,087,083,776/966,730
  6. Step 6: Final answer
    x = 4,447,040.11

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Why These Related Problems?

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