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Finding the Third Proportional to 673,969.50 and 1,442,709

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Solution

The third proportional to 673,969.50 and 1,442,709 is: 3,088,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,969.50 : 1,442,709 = 1,442,709 : x
  2. Step 2: Convert to fraction form
    673,969.50/1,442,709 = 1,442,709/x
  3. Step 3: Cross multiply
    673,969.50x = 1,442,709 × 1,442,709
  4. Step 4: Simplify right side
    673,969.50x = 2,081,409,258,681
  5. Step 5: Solve for x
    x = 2,081,409,258,681/673,969.50
  6. Step 6: Final answer
    x = 3,088,284.05

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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.