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Finding the Third Proportional to 966,748 and 2,073,464

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Solution

The third proportional to 966,748 and 2,073,464 is: 4,447,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,748 : 2,073,464 = 2,073,464 : x
  2. Step 2: Convert to fraction form
    966,748/2,073,464 = 2,073,464/x
  3. Step 3: Cross multiply
    966,748x = 2,073,464 × 2,073,464
  4. Step 4: Simplify right side
    966,748x = 4,299,252,959,296
  5. Step 5: Solve for x
    x = 4,299,252,959,296/966,748
  6. Step 6: Final answer
    x = 4,447,128.89

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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.