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Finding the Third Proportional to 1,077,592 and 1,569,002

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Solution

The third proportional to 1,077,592 and 1,569,002 is: 2,284,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,592 : 1,569,002 = 1,569,002 : x
  2. Step 2: Convert to fraction form
    1,077,592/1,569,002 = 1,569,002/x
  3. Step 3: Cross multiply
    1,077,592x = 1,569,002 × 1,569,002
  4. Step 4: Simplify right side
    1,077,592x = 2,461,767,276,004
  5. Step 5: Solve for x
    x = 2,461,767,276,004/1,077,592
  6. Step 6: Final answer
    x = 2,284,507.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.