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Finding the Third Proportional to 670,114 and 1,036,277

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Solution

The third proportional to 670,114 and 1,036,277 is: 1,602,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,114 : 1,036,277 = 1,036,277 : x
  2. Step 2: Convert to fraction form
    670,114/1,036,277 = 1,036,277/x
  3. Step 3: Cross multiply
    670,114x = 1,036,277 × 1,036,277
  4. Step 4: Simplify right side
    670,114x = 1,073,870,020,729
  5. Step 5: Solve for x
    x = 1,073,870,020,729/670,114
  6. Step 6: Final answer
    x = 1,602,518.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.