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Finding the Third Proportional to 470,466 and 1,018,692

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Solution

The third proportional to 470,466 and 1,018,692 is: 2,205,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,466 : 1,018,692 = 1,018,692 : x
  2. Step 2: Convert to fraction form
    470,466/1,018,692 = 1,018,692/x
  3. Step 3: Cross multiply
    470,466x = 1,018,692 × 1,018,692
  4. Step 4: Simplify right side
    470,466x = 1,037,733,390,864
  5. Step 5: Solve for x
    x = 1,037,733,390,864/470,466
  6. Step 6: Final answer
    x = 2,205,756.40

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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.