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Finding the Third Proportional to 541,070 and 1,163,541

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Solution

The third proportional to 541,070 and 1,163,541 is: 2,502,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,070 : 1,163,541 = 1,163,541 : x
  2. Step 2: Convert to fraction form
    541,070/1,163,541 = 1,163,541/x
  3. Step 3: Cross multiply
    541,070x = 1,163,541 × 1,163,541
  4. Step 4: Simplify right side
    541,070x = 1,353,827,658,681
  5. Step 5: Solve for x
    x = 1,353,827,658,681/541,070
  6. Step 6: Final answer
    x = 2,502,130.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.