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Finding the Third Proportional to 1,662,870 and 2,567,569.50

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Solution

The third proportional to 1,662,870 and 2,567,569.50 is: 3,964,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,870 : 2,567,569.50 = 2,567,569.50 : x
  2. Step 2: Convert to fraction form
    1,662,870/2,567,569.50 = 2,567,569.50/x
  3. Step 3: Cross multiply
    1,662,870x = 2,567,569.50 × 2,567,569.50
  4. Step 4: Simplify right side
    1,662,870x = 6,592,413,137,330.25
  5. Step 5: Solve for x
    x = 6,592,413,137,330.25/1,662,870
  6. Step 6: Final answer
    x = 3,964,478.97

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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.