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Finding the Third Proportional to 619,348 and 917,510

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Solution

The third proportional to 619,348 and 917,510 is: 1,359,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,348 : 917,510 = 917,510 : x
  2. Step 2: Convert to fraction form
    619,348/917,510 = 917,510/x
  3. Step 3: Cross multiply
    619,348x = 917,510 × 917,510
  4. Step 4: Simplify right side
    619,348x = 841,824,600,100
  5. Step 5: Solve for x
    x = 841,824,600,100/619,348
  6. Step 6: Final answer
    x = 1,359,210.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.