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Finding the Third Proportional to 714,461 and 1,527,184

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Solution

The third proportional to 714,461 and 1,527,184 is: 3,264,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,461 : 1,527,184 = 1,527,184 : x
  2. Step 2: Convert to fraction form
    714,461/1,527,184 = 1,527,184/x
  3. Step 3: Cross multiply
    714,461x = 1,527,184 × 1,527,184
  4. Step 4: Simplify right side
    714,461x = 2,332,290,969,856
  5. Step 5: Solve for x
    x = 2,332,290,969,856/714,461
  6. Step 6: Final answer
    x = 3,264,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.