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Finding the Third Proportional to 2,134,688 and 4,648,239

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Solution

The third proportional to 2,134,688 and 4,648,239 is: 10,121,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,688 : 4,648,239 = 4,648,239 : x
  2. Step 2: Convert to fraction form
    2,134,688/4,648,239 = 4,648,239/x
  3. Step 3: Cross multiply
    2,134,688x = 4,648,239 × 4,648,239
  4. Step 4: Simplify right side
    2,134,688x = 21,606,125,801,121
  5. Step 5: Solve for x
    x = 21,606,125,801,121/2,134,688
  6. Step 6: Final answer
    x = 10,121,444.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.