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Finding the Third Proportional to 884,025 and 1,359,598

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Solution

The third proportional to 884,025 and 1,359,598 is: 2,091,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,025 : 1,359,598 = 1,359,598 : x
  2. Step 2: Convert to fraction form
    884,025/1,359,598 = 1,359,598/x
  3. Step 3: Cross multiply
    884,025x = 1,359,598 × 1,359,598
  4. Step 4: Simplify right side
    884,025x = 1,848,506,721,604
  5. Step 5: Solve for x
    x = 1,848,506,721,604/884,025
  6. Step 6: Final answer
    x = 2,091,011.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.