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Finding the Third Proportional to 962,564 and 1,411,014

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Solution

The third proportional to 962,564 and 1,411,014 is: 2,068,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,564 : 1,411,014 = 1,411,014 : x
  2. Step 2: Convert to fraction form
    962,564/1,411,014 = 1,411,014/x
  3. Step 3: Cross multiply
    962,564x = 1,411,014 × 1,411,014
  4. Step 4: Simplify right side
    962,564x = 1,990,960,508,196
  5. Step 5: Solve for x
    x = 1,990,960,508,196/962,564
  6. Step 6: Final answer
    x = 2,068,392.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.