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Finding the Third Proportional to 864,306 and 1,867,094.63

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Solution

The third proportional to 864,306 and 1,867,094.63 is: 4,033,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,306 : 1,867,094.63 = 1,867,094.63 : x
  2. Step 2: Convert to fraction form
    864,306/1,867,094.63 = 1,867,094.63/x
  3. Step 3: Cross multiply
    864,306x = 1,867,094.63 × 1,867,094.63
  4. Step 4: Simplify right side
    864,306x = 3,486,042,338,703.89
  5. Step 5: Solve for x
    x = 3,486,042,338,703.89/864,306
  6. Step 6: Final answer
    x = 4,033,342.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.