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Finding the Third Proportional to 840,054 and 1,843,402

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Solution

The third proportional to 840,054 and 1,843,402 is: 4,045,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,054 : 1,843,402 = 1,843,402 : x
  2. Step 2: Convert to fraction form
    840,054/1,843,402 = 1,843,402/x
  3. Step 3: Cross multiply
    840,054x = 1,843,402 × 1,843,402
  4. Step 4: Simplify right side
    840,054x = 3,398,130,933,604
  5. Step 5: Solve for x
    x = 3,398,130,933,604/840,054
  6. Step 6: Final answer
    x = 4,045,133.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.