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Finding the Third Proportional to 442,709 and 948,437

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Solution

The third proportional to 442,709 and 948,437 is: 2,031,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,709 : 948,437 = 948,437 : x
  2. Step 2: Convert to fraction form
    442,709/948,437 = 948,437/x
  3. Step 3: Cross multiply
    442,709x = 948,437 × 948,437
  4. Step 4: Simplify right side
    442,709x = 899,532,742,969
  5. Step 5: Solve for x
    x = 899,532,742,969/442,709
  6. Step 6: Final answer
    x = 2,031,882.67

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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.