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Finding the Third Proportional to 670,944 and 1,015,140

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Solution

The third proportional to 670,944 and 1,015,140 is: 1,535,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,944 : 1,015,140 = 1,015,140 : x
  2. Step 2: Convert to fraction form
    670,944/1,015,140 = 1,015,140/x
  3. Step 3: Cross multiply
    670,944x = 1,015,140 × 1,015,140
  4. Step 4: Simplify right side
    670,944x = 1,030,509,219,600
  5. Step 5: Solve for x
    x = 1,030,509,219,600/670,944
  6. Step 6: Final answer
    x = 1,535,909.43

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