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Finding the Third Proportional to 540,896 and 840,826

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Solution

The third proportional to 540,896 and 840,826 is: 1,307,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,896 : 840,826 = 840,826 : x
  2. Step 2: Convert to fraction form
    540,896/840,826 = 840,826/x
  3. Step 3: Cross multiply
    540,896x = 840,826 × 840,826
  4. Step 4: Simplify right side
    540,896x = 706,988,362,276
  5. Step 5: Solve for x
    x = 706,988,362,276/540,896
  6. Step 6: Final answer
    x = 1,307,068.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.