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Finding the Third Proportional to 784,641.13 and 1,663,455

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Solution

The third proportional to 784,641.13 and 1,663,455 is: 3,526,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,641.13 : 1,663,455 = 1,663,455 : x
  2. Step 2: Convert to fraction form
    784,641.13/1,663,455 = 1,663,455/x
  3. Step 3: Cross multiply
    784,641.13x = 1,663,455 × 1,663,455
  4. Step 4: Simplify right side
    784,641.13x = 2,767,082,537,025
  5. Step 5: Solve for x
    x = 2,767,082,537,025/784,641.13
  6. Step 6: Final answer
    x = 3,526,558.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.