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Finding the Third Proportional to 2,097,041.25 and 4,586,586

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Solution

The third proportional to 2,097,041.25 and 4,586,586 is: 10,031,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,041.25 : 4,586,586 = 4,586,586 : x
  2. Step 2: Convert to fraction form
    2,097,041.25/4,586,586 = 4,586,586/x
  3. Step 3: Cross multiply
    2,097,041.25x = 4,586,586 × 4,586,586
  4. Step 4: Simplify right side
    2,097,041.25x = 21,036,771,135,396
  5. Step 5: Solve for x
    x = 21,036,771,135,396/2,097,041.25
  6. Step 6: Final answer
    x = 10,031,643.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.