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Finding the Third Proportional to 1,010,454 and 1,568,900

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Solution

The third proportional to 1,010,454 and 1,568,900 is: 2,435,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,454 : 1,568,900 = 1,568,900 : x
  2. Step 2: Convert to fraction form
    1,010,454/1,568,900 = 1,568,900/x
  3. Step 3: Cross multiply
    1,010,454x = 1,568,900 × 1,568,900
  4. Step 4: Simplify right side
    1,010,454x = 2,461,447,210,000
  5. Step 5: Solve for x
    x = 2,461,447,210,000/1,010,454
  6. Step 6: Final answer
    x = 2,435,981.46

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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.