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Finding the Third Proportional to 2,265,142 and 4,977,890

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Solution

The third proportional to 2,265,142 and 4,977,890 is: 10,939,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,142 : 4,977,890 = 4,977,890 : x
  2. Step 2: Convert to fraction form
    2,265,142/4,977,890 = 4,977,890/x
  3. Step 3: Cross multiply
    2,265,142x = 4,977,890 × 4,977,890
  4. Step 4: Simplify right side
    2,265,142x = 24,779,388,852,100
  5. Step 5: Solve for x
    x = 24,779,388,852,100/2,265,142
  6. Step 6: Final answer
    x = 10,939,441.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.