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Finding the Third Proportional to 734,526 and 1,581,048

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Solution

The third proportional to 734,526 and 1,581,048 is: 3,403,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,526 : 1,581,048 = 1,581,048 : x
  2. Step 2: Convert to fraction form
    734,526/1,581,048 = 1,581,048/x
  3. Step 3: Cross multiply
    734,526x = 1,581,048 × 1,581,048
  4. Step 4: Simplify right side
    734,526x = 2,499,712,778,304
  5. Step 5: Solve for x
    x = 2,499,712,778,304/734,526
  6. Step 6: Final answer
    x = 3,403,164.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.