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Finding the Third Proportional to 1,052,912 and 1,695,657

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Solution

The third proportional to 1,052,912 and 1,695,657 is: 2,730,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,912 : 1,695,657 = 1,695,657 : x
  2. Step 2: Convert to fraction form
    1,052,912/1,695,657 = 1,695,657/x
  3. Step 3: Cross multiply
    1,052,912x = 1,695,657 × 1,695,657
  4. Step 4: Simplify right side
    1,052,912x = 2,875,252,661,649
  5. Step 5: Solve for x
    x = 2,875,252,661,649/1,052,912
  6. Step 6: Final answer
    x = 2,730,762.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.