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Finding the Third Proportional to 545,724 and 841,914

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Solution

The third proportional to 545,724 and 841,914 is: 1,298,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,724 : 841,914 = 841,914 : x
  2. Step 2: Convert to fraction form
    545,724/841,914 = 841,914/x
  3. Step 3: Cross multiply
    545,724x = 841,914 × 841,914
  4. Step 4: Simplify right side
    545,724x = 708,819,183,396
  5. Step 5: Solve for x
    x = 708,819,183,396/545,724
  6. Step 6: Final answer
    x = 1,298,860.20

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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.