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Finding the Third Proportional to 829,334 and 1,742,206

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Solution

The third proportional to 829,334 and 1,742,206 is: 3,659,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,334 : 1,742,206 = 1,742,206 : x
  2. Step 2: Convert to fraction form
    829,334/1,742,206 = 1,742,206/x
  3. Step 3: Cross multiply
    829,334x = 1,742,206 × 1,742,206
  4. Step 4: Simplify right side
    829,334x = 3,035,281,746,436
  5. Step 5: Solve for x
    x = 3,035,281,746,436/829,334
  6. Step 6: Final answer
    x = 3,659,902.70

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