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Finding the Third Proportional to 648,501 and 1,035,987

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Solution

The third proportional to 648,501 and 1,035,987 is: 1,654,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,501 : 1,035,987 = 1,035,987 : x
  2. Step 2: Convert to fraction form
    648,501/1,035,987 = 1,035,987/x
  3. Step 3: Cross multiply
    648,501x = 1,035,987 × 1,035,987
  4. Step 4: Simplify right side
    648,501x = 1,073,269,064,169
  5. Step 5: Solve for x
    x = 1,073,269,064,169/648,501
  6. Step 6: Final answer
    x = 1,654,999.86

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.