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Finding the Third Proportional to 1,057,313.25 and 1,702,428.89

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Solution

The third proportional to 1,057,313.25 and 1,702,428.89 is: 2,741,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,313.25 : 1,702,428.89 = 1,702,428.89 : x
  2. Step 2: Convert to fraction form
    1,057,313.25/1,702,428.89 = 1,702,428.89/x
  3. Step 3: Cross multiply
    1,057,313.25x = 1,702,428.89 × 1,702,428.89
  4. Step 4: Simplify right side
    1,057,313.25x = 2,898,264,127,634.67
  5. Step 5: Solve for x
    x = 2,898,264,127,634.67/1,057,313.25
  6. Step 6: Final answer
    x = 2,741,159.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.