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Finding the Third Proportional to 649,768 and 1,046,840

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Solution

The third proportional to 649,768 and 1,046,840 is: 1,686,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,768 : 1,046,840 = 1,046,840 : x
  2. Step 2: Convert to fraction form
    649,768/1,046,840 = 1,046,840/x
  3. Step 3: Cross multiply
    649,768x = 1,046,840 × 1,046,840
  4. Step 4: Simplify right side
    649,768x = 1,095,873,985,600
  5. Step 5: Solve for x
    x = 1,095,873,985,600/649,768
  6. Step 6: Final answer
    x = 1,686,561.95

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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.