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Finding the Third Proportional to 470,466 and 1,018,690

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Solution

The third proportional to 470,466 and 1,018,690 is: 2,205,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,466 : 1,018,690 = 1,018,690 : x
  2. Step 2: Convert to fraction form
    470,466/1,018,690 = 1,018,690/x
  3. Step 3: Cross multiply
    470,466x = 1,018,690 × 1,018,690
  4. Step 4: Simplify right side
    470,466x = 1,037,729,316,100
  5. Step 5: Solve for x
    x = 1,037,729,316,100/470,466
  6. Step 6: Final answer
    x = 2,205,747.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.