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Finding the Third Proportional to 3,210,927 and 4,403,047.13

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Solution

The third proportional to 3,210,927 and 4,403,047.13 is: 6,037,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,927 : 4,403,047.13 = 4,403,047.13 : x
  2. Step 2: Convert to fraction form
    3,210,927/4,403,047.13 = 4,403,047.13/x
  3. Step 3: Cross multiply
    3,210,927x = 4,403,047.13 × 4,403,047.13
  4. Step 4: Simplify right side
    3,210,927x = 19,386,823,984,970.77
  5. Step 5: Solve for x
    x = 19,386,823,984,970.77/3,210,927
  6. Step 6: Final answer
    x = 6,037,765.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.