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Finding the Third Proportional to 956,736 and 1,480,464

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Solution

The third proportional to 956,736 and 1,480,464 is: 2,290,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,736 : 1,480,464 = 1,480,464 : x
  2. Step 2: Convert to fraction form
    956,736/1,480,464 = 1,480,464/x
  3. Step 3: Cross multiply
    956,736x = 1,480,464 × 1,480,464
  4. Step 4: Simplify right side
    956,736x = 2,191,773,655,296
  5. Step 5: Solve for x
    x = 2,191,773,655,296/956,736
  6. Step 6: Final answer
    x = 2,290,886.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.