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Finding the Third Proportional to 5,746,244 and 8,569,534

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Solution

The third proportional to 5,746,244 and 8,569,534 is: 12,779,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,244 : 8,569,534 = 8,569,534 : x
  2. Step 2: Convert to fraction form
    5,746,244/8,569,534 = 8,569,534/x
  3. Step 3: Cross multiply
    5,746,244x = 8,569,534 × 8,569,534
  4. Step 4: Simplify right side
    5,746,244x = 73,436,912,977,156
  5. Step 5: Solve for x
    x = 73,436,912,977,156/5,746,244
  6. Step 6: Final answer
    x = 12,779,985.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.