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Finding the Third Proportional to 2,064,300.19 and 4,468,800.38

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Solution

The third proportional to 2,064,300.19 and 4,468,800.38 is: 9,674,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,300.19 : 4,468,800.38 = 4,468,800.38 : x
  2. Step 2: Convert to fraction form
    2,064,300.19/4,468,800.38 = 4,468,800.38/x
  3. Step 3: Cross multiply
    2,064,300.19x = 4,468,800.38 × 4,468,800.38
  4. Step 4: Simplify right side
    2,064,300.19x = 19,970,176,791,600.14
  5. Step 5: Solve for x
    x = 19,970,176,791,600.14/2,064,300.19
  6. Step 6: Final answer
    x = 9,674,066.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.