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Finding the Third Proportional to 966,252 and 1,312,146

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Solution

The third proportional to 966,252 and 1,312,146 is: 1,781,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,252 : 1,312,146 = 1,312,146 : x
  2. Step 2: Convert to fraction form
    966,252/1,312,146 = 1,312,146/x
  3. Step 3: Cross multiply
    966,252x = 1,312,146 × 1,312,146
  4. Step 4: Simplify right side
    966,252x = 1,721,727,125,316
  5. Step 5: Solve for x
    x = 1,721,727,125,316/966,252
  6. Step 6: Final answer
    x = 1,781,861.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.