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Finding the Third Proportional to 645,854.34 and 1,390,430.81

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Solution

The third proportional to 645,854.34 and 1,390,430.81 is: 2,993,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,854.34 : 1,390,430.81 = 1,390,430.81 : x
  2. Step 2: Convert to fraction form
    645,854.34/1,390,430.81 = 1,390,430.81/x
  3. Step 3: Cross multiply
    645,854.34x = 1,390,430.81 × 1,390,430.81
  4. Step 4: Simplify right side
    645,854.34x = 1,933,297,844,349.41
  5. Step 5: Solve for x
    x = 1,933,297,844,349.41/645,854.34
  6. Step 6: Final answer
    x = 2,993,396.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.