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Finding the Third Proportional to 1,888,615.13 and 4,046,486.63

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Solution

The third proportional to 1,888,615.13 and 4,046,486.63 is: 8,669,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888,615.13 : 4,046,486.63 = 4,046,486.63 : x
  2. Step 2: Convert to fraction form
    1,888,615.13/4,046,486.63 = 4,046,486.63/x
  3. Step 3: Cross multiply
    1,888,615.13x = 4,046,486.63 × 4,046,486.63
  4. Step 4: Simplify right side
    1,888,615.13x = 16,374,054,006,303.89
  5. Step 5: Solve for x
    x = 16,374,054,006,303.89/1,888,615.13
  6. Step 6: Final answer
    x = 8,669,873.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.