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Finding the Third Proportional to 1,596,970.69 and 2,414,506.22

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Solution

The third proportional to 1,596,970.69 and 2,414,506.22 is: 3,650,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,970.69 : 2,414,506.22 = 2,414,506.22 : x
  2. Step 2: Convert to fraction form
    1,596,970.69/2,414,506.22 = 2,414,506.22/x
  3. Step 3: Cross multiply
    1,596,970.69x = 2,414,506.22 × 2,414,506.22
  4. Step 4: Simplify right side
    1,596,970.69x = 5,829,840,280,382.42
  5. Step 5: Solve for x
    x = 5,829,840,280,382.42/1,596,970.69
  6. Step 6: Final answer
    x = 3,650,561.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.