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Finding the Third Proportional to 2,477,145 and 3,488,382

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Solution

The third proportional to 2,477,145 and 3,488,382 is: 4,912,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,145 : 3,488,382 = 3,488,382 : x
  2. Step 2: Convert to fraction form
    2,477,145/3,488,382 = 3,488,382/x
  3. Step 3: Cross multiply
    2,477,145x = 3,488,382 × 3,488,382
  4. Step 4: Simplify right side
    2,477,145x = 12,168,808,977,924
  5. Step 5: Solve for x
    x = 12,168,808,977,924/2,477,145
  6. Step 6: Final answer
    x = 4,912,433.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.