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Finding the Third Proportional to 829,332 and 1,742,202

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Solution

The third proportional to 829,332 and 1,742,202 is: 3,659,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,332 : 1,742,202 = 1,742,202 : x
  2. Step 2: Convert to fraction form
    829,332/1,742,202 = 1,742,202/x
  3. Step 3: Cross multiply
    829,332x = 1,742,202 × 1,742,202
  4. Step 4: Simplify right side
    829,332x = 3,035,267,808,804
  5. Step 5: Solve for x
    x = 3,035,267,808,804/829,332
  6. Step 6: Final answer
    x = 3,659,894.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.