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Finding the Third Proportional to 545,844 and 803,160

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Solution

The third proportional to 545,844 and 803,160 is: 1,181,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,844 : 803,160 = 803,160 : x
  2. Step 2: Convert to fraction form
    545,844/803,160 = 803,160/x
  3. Step 3: Cross multiply
    545,844x = 803,160 × 803,160
  4. Step 4: Simplify right side
    545,844x = 645,065,985,600
  5. Step 5: Solve for x
    x = 645,065,985,600/545,844
  6. Step 6: Final answer
    x = 1,181,777.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.