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Finding the Third Proportional to 3,301,644.80 and 4,341,643.03

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Solution

The third proportional to 3,301,644.80 and 4,341,643.03 is: 5,709,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301,644.80 : 4,341,643.03 = 4,341,643.03 : x
  2. Step 2: Convert to fraction form
    3,301,644.80/4,341,643.03 = 4,341,643.03/x
  3. Step 3: Cross multiply
    3,301,644.80x = 4,341,643.03 × 4,341,643.03
  4. Step 4: Simplify right side
    3,301,644.80x = 18,849,864,210,801.69
  5. Step 5: Solve for x
    x = 18,849,864,210,801.69/3,301,644.80
  6. Step 6: Final answer
    x = 5,709,234.45

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.