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Finding the Third Proportional to 670,948 and 1,015,146

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Solution

The third proportional to 670,948 and 1,015,146 is: 1,535,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,948 : 1,015,146 = 1,015,146 : x
  2. Step 2: Convert to fraction form
    670,948/1,015,146 = 1,015,146/x
  3. Step 3: Cross multiply
    670,948x = 1,015,146 × 1,015,146
  4. Step 4: Simplify right side
    670,948x = 1,030,521,401,316
  5. Step 5: Solve for x
    x = 1,030,521,401,316/670,948
  6. Step 6: Final answer
    x = 1,535,918.43

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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.