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Finding the Third Proportional to 1,077,594 and 1,569,005

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Solution

The third proportional to 1,077,594 and 1,569,005 is: 2,284,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,594 : 1,569,005 = 1,569,005 : x
  2. Step 2: Convert to fraction form
    1,077,594/1,569,005 = 1,569,005/x
  3. Step 3: Cross multiply
    1,077,594x = 1,569,005 × 1,569,005
  4. Step 4: Simplify right side
    1,077,594x = 2,461,776,690,025
  5. Step 5: Solve for x
    x = 2,461,776,690,025/1,077,594
  6. Step 6: Final answer
    x = 2,284,512.25

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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.