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Finding the Third Proportional to 1,746,807.50 and 3,817,463.50

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Solution

The third proportional to 1,746,807.50 and 3,817,463.50 is: 8,342,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,807.50 : 3,817,463.50 = 3,817,463.50 : x
  2. Step 2: Convert to fraction form
    1,746,807.50/3,817,463.50 = 3,817,463.50/x
  3. Step 3: Cross multiply
    1,746,807.50x = 3,817,463.50 × 3,817,463.50
  4. Step 4: Simplify right side
    1,746,807.50x = 14,573,027,573,832.25
  5. Step 5: Solve for x
    x = 14,573,027,573,832.25/1,746,807.50
  6. Step 6: Final answer
    x = 8,342,663.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.