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Finding the Third Proportional to 1,077,598 and 1,569,012

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Solution

The third proportional to 1,077,598 and 1,569,012 is: 2,284,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,598 : 1,569,012 = 1,569,012 : x
  2. Step 2: Convert to fraction form
    1,077,598/1,569,012 = 1,569,012/x
  3. Step 3: Cross multiply
    1,077,598x = 1,569,012 × 1,569,012
  4. Step 4: Simplify right side
    1,077,598x = 2,461,798,656,144
  5. Step 5: Solve for x
    x = 2,461,798,656,144/1,077,598
  6. Step 6: Final answer
    x = 2,284,524.15

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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.