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Finding the Third Proportional to 720,314 and 1,562,724

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Solution

The third proportional to 720,314 and 1,562,724 is: 3,390,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,314 : 1,562,724 = 1,562,724 : x
  2. Step 2: Convert to fraction form
    720,314/1,562,724 = 1,562,724/x
  3. Step 3: Cross multiply
    720,314x = 1,562,724 × 1,562,724
  4. Step 4: Simplify right side
    720,314x = 2,442,106,300,176
  5. Step 5: Solve for x
    x = 2,442,106,300,176/720,314
  6. Step 6: Final answer
    x = 3,390,335.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.