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Finding the Third Proportional to 966,172 and 1,312,024

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Solution

The third proportional to 966,172 and 1,312,024 is: 1,781,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,172 : 1,312,024 = 1,312,024 : x
  2. Step 2: Convert to fraction form
    966,172/1,312,024 = 1,312,024/x
  3. Step 3: Cross multiply
    966,172x = 1,312,024 × 1,312,024
  4. Step 4: Simplify right side
    966,172x = 1,721,406,976,576
  5. Step 5: Solve for x
    x = 1,721,406,976,576/966,172
  6. Step 6: Final answer
    x = 1,781,677.57

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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.