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Finding the Third Proportional to 840,364 and 1,132,235

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Solution

The third proportional to 840,364 and 1,132,235 is: 1,525,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,364 : 1,132,235 = 1,132,235 : x
  2. Step 2: Convert to fraction form
    840,364/1,132,235 = 1,132,235/x
  3. Step 3: Cross multiply
    840,364x = 1,132,235 × 1,132,235
  4. Step 4: Simplify right side
    840,364x = 1,281,956,095,225
  5. Step 5: Solve for x
    x = 1,281,956,095,225/840,364
  6. Step 6: Final answer
    x = 1,525,477.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.