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Finding the Third Proportional to 654,969 and 1,041,501

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Solution

The third proportional to 654,969 and 1,041,501 is: 1,656,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,969 : 1,041,501 = 1,041,501 : x
  2. Step 2: Convert to fraction form
    654,969/1,041,501 = 1,041,501/x
  3. Step 3: Cross multiply
    654,969x = 1,041,501 × 1,041,501
  4. Step 4: Simplify right side
    654,969x = 1,084,724,333,001
  5. Step 5: Solve for x
    x = 1,084,724,333,001/654,969
  6. Step 6: Final answer
    x = 1,656,146.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.