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Finding the Third Proportional to 4,037,688 and 6,206,205

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Solution

The third proportional to 4,037,688 and 6,206,205 is: 9,539,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,688 : 6,206,205 = 6,206,205 : x
  2. Step 2: Convert to fraction form
    4,037,688/6,206,205 = 6,206,205/x
  3. Step 3: Cross multiply
    4,037,688x = 6,206,205 × 6,206,205
  4. Step 4: Simplify right side
    4,037,688x = 38,516,980,502,025
  5. Step 5: Solve for x
    x = 38,516,980,502,025/4,037,688
  6. Step 6: Final answer
    x = 9,539,365.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.