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Finding the Third Proportional to 480,830 and 1,028,365

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Solution

The third proportional to 480,830 and 1,028,365 is: 2,199,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,830 : 1,028,365 = 1,028,365 : x
  2. Step 2: Convert to fraction form
    480,830/1,028,365 = 1,028,365/x
  3. Step 3: Cross multiply
    480,830x = 1,028,365 × 1,028,365
  4. Step 4: Simplify right side
    480,830x = 1,057,534,573,225
  5. Step 5: Solve for x
    x = 1,057,534,573,225/480,830
  6. Step 6: Final answer
    x = 2,199,393.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.