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Finding the Third Proportional to 545,650 and 841,803

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Solution

The third proportional to 545,650 and 841,803 is: 1,298,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,650 : 841,803 = 841,803 : x
  2. Step 2: Convert to fraction form
    545,650/841,803 = 841,803/x
  3. Step 3: Cross multiply
    545,650x = 841,803 × 841,803
  4. Step 4: Simplify right side
    545,650x = 708,632,290,809
  5. Step 5: Solve for x
    x = 708,632,290,809/545,650
  6. Step 6: Final answer
    x = 1,298,693.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.