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Finding the Third Proportional to 670,946 and 1,015,143

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Solution

The third proportional to 670,946 and 1,015,143 is: 1,535,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,946 : 1,015,143 = 1,015,143 : x
  2. Step 2: Convert to fraction form
    670,946/1,015,143 = 1,015,143/x
  3. Step 3: Cross multiply
    670,946x = 1,015,143 × 1,015,143
  4. Step 4: Simplify right side
    670,946x = 1,030,515,310,449
  5. Step 5: Solve for x
    x = 1,030,515,310,449/670,946
  6. Step 6: Final answer
    x = 1,535,913.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.