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Finding the Third Proportional to 1,977,732 and 4,235,400

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Solution

The third proportional to 1,977,732 and 4,235,400 is: 9,070,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,732 : 4,235,400 = 4,235,400 : x
  2. Step 2: Convert to fraction form
    1,977,732/4,235,400 = 4,235,400/x
  3. Step 3: Cross multiply
    1,977,732x = 4,235,400 × 4,235,400
  4. Step 4: Simplify right side
    1,977,732x = 17,938,613,160,000
  5. Step 5: Solve for x
    x = 17,938,613,160,000/1,977,732
  6. Step 6: Final answer
    x = 9,070,295.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.