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Finding the Third Proportional to 908,934 and 1,977,478.50

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Solution

The third proportional to 908,934 and 1,977,478.50 is: 4,302,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,934 : 1,977,478.50 = 1,977,478.50 : x
  2. Step 2: Convert to fraction form
    908,934/1,977,478.50 = 1,977,478.50/x
  3. Step 3: Cross multiply
    908,934x = 1,977,478.50 × 1,977,478.50
  4. Step 4: Simplify right side
    908,934x = 3,910,421,217,962.25
  5. Step 5: Solve for x
    x = 3,910,421,217,962.25/908,934
  6. Step 6: Final answer
    x = 4,302,205.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.