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Finding the Third Proportional to 1,872,841.50 and 4,029,925.13

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Solution

The third proportional to 1,872,841.50 and 4,029,925.13 is: 8,671,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,841.50 : 4,029,925.13 = 4,029,925.13 : x
  2. Step 2: Convert to fraction form
    1,872,841.50/4,029,925.13 = 4,029,925.13/x
  3. Step 3: Cross multiply
    1,872,841.50x = 4,029,925.13 × 4,029,925.13
  4. Step 4: Simplify right side
    1,872,841.50x = 16,240,296,513,106.27
  5. Step 5: Solve for x
    x = 16,240,296,513,106.27/1,872,841.50
  6. Step 6: Final answer
    x = 8,671,474.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.