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Finding the Third Proportional to 1,646,169 and 2,473,627.50

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Solution

The third proportional to 1,646,169 and 2,473,627.50 is: 3,717,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,169 : 2,473,627.50 = 2,473,627.50 : x
  2. Step 2: Convert to fraction form
    1,646,169/2,473,627.50 = 2,473,627.50/x
  3. Step 3: Cross multiply
    1,646,169x = 2,473,627.50 × 2,473,627.50
  4. Step 4: Simplify right side
    1,646,169x = 6,118,833,008,756.25
  5. Step 5: Solve for x
    x = 6,118,833,008,756.25/1,646,169
  6. Step 6: Final answer
    x = 3,717,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.