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Finding the Third Proportional to 965,552 and 1,418,769

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Solution

The third proportional to 965,552 and 1,418,769 is: 2,084,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,552 : 1,418,769 = 1,418,769 : x
  2. Step 2: Convert to fraction form
    965,552/1,418,769 = 1,418,769/x
  3. Step 3: Cross multiply
    965,552x = 1,418,769 × 1,418,769
  4. Step 4: Simplify right side
    965,552x = 2,012,905,475,361
  5. Step 5: Solve for x
    x = 2,012,905,475,361/965,552
  6. Step 6: Final answer
    x = 2,084,719.91

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Why These Related Problems?

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