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Finding the Third Proportional to 1,035,014 and 1,570,029

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Solution

The third proportional to 1,035,014 and 1,570,029 is: 2,381,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,014 : 1,570,029 = 1,570,029 : x
  2. Step 2: Convert to fraction form
    1,035,014/1,570,029 = 1,570,029/x
  3. Step 3: Cross multiply
    1,035,014x = 1,570,029 × 1,570,029
  4. Step 4: Simplify right side
    1,035,014x = 2,464,991,060,841
  5. Step 5: Solve for x
    x = 2,464,991,060,841/1,035,014
  6. Step 6: Final answer
    x = 2,381,601.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.