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Finding the Third Proportional to 2,574,142 and 3,492,057

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Solution

The third proportional to 2,574,142 and 3,492,057 is: 4,737,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,142 : 3,492,057 = 3,492,057 : x
  2. Step 2: Convert to fraction form
    2,574,142/3,492,057 = 3,492,057/x
  3. Step 3: Cross multiply
    2,574,142x = 3,492,057 × 3,492,057
  4. Step 4: Simplify right side
    2,574,142x = 12,194,462,091,249
  5. Step 5: Solve for x
    x = 12,194,462,091,249/2,574,142
  6. Step 6: Final answer
    x = 4,737,291.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.