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Finding the Third Proportional to 1,516,527 and 2,341,989

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Solution

The third proportional to 1,516,527 and 2,341,989 is: 3,616,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,527 : 2,341,989 = 2,341,989 : x
  2. Step 2: Convert to fraction form
    1,516,527/2,341,989 = 2,341,989/x
  3. Step 3: Cross multiply
    1,516,527x = 2,341,989 × 2,341,989
  4. Step 4: Simplify right side
    1,516,527x = 5,484,912,476,121
  5. Step 5: Solve for x
    x = 5,484,912,476,121/1,516,527
  6. Step 6: Final answer
    x = 3,616,758.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.