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Finding the Third Proportional to 2,065,484.81 and 3,413,360.25

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Solution

The third proportional to 2,065,484.81 and 3,413,360.25 is: 5,640,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,484.81 : 3,413,360.25 = 3,413,360.25 : x
  2. Step 2: Convert to fraction form
    2,065,484.81/3,413,360.25 = 3,413,360.25/x
  3. Step 3: Cross multiply
    2,065,484.81x = 3,413,360.25 × 3,413,360.25
  4. Step 4: Simplify right side
    2,065,484.81x = 11,651,028,196,280.06
  5. Step 5: Solve for x
    x = 11,651,028,196,280.06/2,065,484.81
  6. Step 6: Final answer
    x = 5,640,820.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.