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Finding the Third Proportional to 910,420 and 1,406,697

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Solution

The third proportional to 910,420 and 1,406,697 is: 2,173,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,420 : 1,406,697 = 1,406,697 : x
  2. Step 2: Convert to fraction form
    910,420/1,406,697 = 1,406,697/x
  3. Step 3: Cross multiply
    910,420x = 1,406,697 × 1,406,697
  4. Step 4: Simplify right side
    910,420x = 1,978,796,449,809
  5. Step 5: Solve for x
    x = 1,978,796,449,809/910,420
  6. Step 6: Final answer
    x = 2,173,498.44

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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.