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Finding the Third Proportional to 713,334 and 1,451,572

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Solution

The third proportional to 713,334 and 1,451,572 is: 2,953,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,334 : 1,451,572 = 1,451,572 : x
  2. Step 2: Convert to fraction form
    713,334/1,451,572 = 1,451,572/x
  3. Step 3: Cross multiply
    713,334x = 1,451,572 × 1,451,572
  4. Step 4: Simplify right side
    713,334x = 2,107,061,271,184
  5. Step 5: Solve for x
    x = 2,107,061,271,184/713,334
  6. Step 6: Final answer
    x = 2,953,821.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.