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Finding the Third Proportional to 2,315,409 and 5,411,265

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Solution

The third proportional to 2,315,409 and 5,411,265 is: 12,646,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315,409 : 5,411,265 = 5,411,265 : x
  2. Step 2: Convert to fraction form
    2,315,409/5,411,265 = 5,411,265/x
  3. Step 3: Cross multiply
    2,315,409x = 5,411,265 × 5,411,265
  4. Step 4: Simplify right side
    2,315,409x = 29,281,788,900,225
  5. Step 5: Solve for x
    x = 29,281,788,900,225/2,315,409
  6. Step 6: Final answer
    x = 12,646,486.60

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.