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Finding the Third Proportional to 478,101 and 1,043,139

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Solution

The third proportional to 478,101 and 1,043,139 is: 2,275,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,101 : 1,043,139 = 1,043,139 : x
  2. Step 2: Convert to fraction form
    478,101/1,043,139 = 1,043,139/x
  3. Step 3: Cross multiply
    478,101x = 1,043,139 × 1,043,139
  4. Step 4: Simplify right side
    478,101x = 1,088,138,973,321
  5. Step 5: Solve for x
    x = 1,088,138,973,321/478,101
  6. Step 6: Final answer
    x = 2,275,960.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.