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Finding the Third Proportional to 910,414 and 1,406,690

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Solution

The third proportional to 910,414 and 1,406,690 is: 2,173,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,414 : 1,406,690 = 1,406,690 : x
  2. Step 2: Convert to fraction form
    910,414/1,406,690 = 1,406,690/x
  3. Step 3: Cross multiply
    910,414x = 1,406,690 × 1,406,690
  4. Step 4: Simplify right side
    910,414x = 1,978,776,756,100
  5. Step 5: Solve for x
    x = 1,978,776,756,100/910,414
  6. Step 6: Final answer
    x = 2,173,491.13

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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.