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Finding the Third Proportional to 1,430,136 and 2,098,452

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Solution

The third proportional to 1,430,136 and 2,098,452 is: 3,079,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,136 : 2,098,452 = 2,098,452 : x
  2. Step 2: Convert to fraction form
    1,430,136/2,098,452 = 2,098,452/x
  3. Step 3: Cross multiply
    1,430,136x = 2,098,452 × 2,098,452
  4. Step 4: Simplify right side
    1,430,136x = 4,403,500,796,304
  5. Step 5: Solve for x
    x = 4,403,500,796,304/1,430,136
  6. Step 6: Final answer
    x = 3,079,078.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.