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Finding the Third Proportional to 423,581 and 931,402

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Solution

The third proportional to 423,581 and 931,402 is: 2,048,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,581 : 931,402 = 931,402 : x
  2. Step 2: Convert to fraction form
    423,581/931,402 = 931,402/x
  3. Step 3: Cross multiply
    423,581x = 931,402 × 931,402
  4. Step 4: Simplify right side
    423,581x = 867,509,685,604
  5. Step 5: Solve for x
    x = 867,509,685,604/423,581
  6. Step 6: Final answer
    x = 2,048,037.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.