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Finding the Third Proportional to 1,569,712 and 2,430,024

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Solution

The third proportional to 1,569,712 and 2,430,024 is: 3,761,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,712 : 2,430,024 = 2,430,024 : x
  2. Step 2: Convert to fraction form
    1,569,712/2,430,024 = 2,430,024/x
  3. Step 3: Cross multiply
    1,569,712x = 2,430,024 × 2,430,024
  4. Step 4: Simplify right side
    1,569,712x = 5,905,016,640,576
  5. Step 5: Solve for x
    x = 5,905,016,640,576/1,569,712
  6. Step 6: Final answer
    x = 3,761,847.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.