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Finding the Third Proportional to 2,193,564 and 4,666,488

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Solution

The third proportional to 2,193,564 and 4,666,488 is: 9,927,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,564 : 4,666,488 = 4,666,488 : x
  2. Step 2: Convert to fraction form
    2,193,564/4,666,488 = 4,666,488/x
  3. Step 3: Cross multiply
    2,193,564x = 4,666,488 × 4,666,488
  4. Step 4: Simplify right side
    2,193,564x = 21,776,110,254,144
  5. Step 5: Solve for x
    x = 21,776,110,254,144/2,193,564
  6. Step 6: Final answer
    x = 9,927,273.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.