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Finding the Third Proportional to 1,652,988 and 2,528,442

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Solution

The third proportional to 1,652,988 and 2,528,442 is: 3,867,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,988 : 2,528,442 = 2,528,442 : x
  2. Step 2: Convert to fraction form
    1,652,988/2,528,442 = 2,528,442/x
  3. Step 3: Cross multiply
    1,652,988x = 2,528,442 × 2,528,442
  4. Step 4: Simplify right side
    1,652,988x = 6,393,018,947,364
  5. Step 5: Solve for x
    x = 6,393,018,947,364/1,652,988
  6. Step 6: Final answer
    x = 3,867,553.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.