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Finding the Third Proportional to 1,880,657 and 2,865,051

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Solution

The third proportional to 1,880,657 and 2,865,051 is: 4,364,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880,657 : 2,865,051 = 2,865,051 : x
  2. Step 2: Convert to fraction form
    1,880,657/2,865,051 = 2,865,051/x
  3. Step 3: Cross multiply
    1,880,657x = 2,865,051 × 2,865,051
  4. Step 4: Simplify right side
    1,880,657x = 8,208,517,232,601
  5. Step 5: Solve for x
    x = 8,208,517,232,601/1,880,657
  6. Step 6: Final answer
    x = 4,364,707.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.