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Finding the Third Proportional to 616,095 and 1,241,338.50

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Solution

The third proportional to 616,095 and 1,241,338.50 is: 2,501,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,095 : 1,241,338.50 = 1,241,338.50 : x
  2. Step 2: Convert to fraction form
    616,095/1,241,338.50 = 1,241,338.50/x
  3. Step 3: Cross multiply
    616,095x = 1,241,338.50 × 1,241,338.50
  4. Step 4: Simplify right side
    616,095x = 1,540,921,271,582.25
  5. Step 5: Solve for x
    x = 1,540,921,271,582.25/616,095
  6. Step 6: Final answer
    x = 2,501,109.85

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.