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Finding the Third Proportional to 2,084,507.16 and 3,114,490.18

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Solution

The third proportional to 2,084,507.16 and 3,114,490.18 is: 4,653,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,507.16 : 3,114,490.18 = 3,114,490.18 : x
  2. Step 2: Convert to fraction form
    2,084,507.16/3,114,490.18 = 3,114,490.18/x
  3. Step 3: Cross multiply
    2,084,507.16x = 3,114,490.18 × 3,114,490.18
  4. Step 4: Simplify right side
    2,084,507.16x = 9,700,049,103,702.14
  5. Step 5: Solve for x
    x = 9,700,049,103,702.14/2,084,507.16
  6. Step 6: Final answer
    x = 4,653,401.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.