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Finding the Third Proportional to 1,724,143 and 3,746,721.50

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Solution

The third proportional to 1,724,143 and 3,746,721.50 is: 8,141,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,143 : 3,746,721.50 = 3,746,721.50 : x
  2. Step 2: Convert to fraction form
    1,724,143/3,746,721.50 = 3,746,721.50/x
  3. Step 3: Cross multiply
    1,724,143x = 3,746,721.50 × 3,746,721.50
  4. Step 4: Simplify right side
    1,724,143x = 14,037,921,998,562.25
  5. Step 5: Solve for x
    x = 14,037,921,998,562.25/1,724,143
  6. Step 6: Final answer
    x = 8,141,970.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.