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Finding the Third Proportional to 470,502 and 1,018,764

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Solution

The third proportional to 470,502 and 1,018,764 is: 2,205,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,502 : 1,018,764 = 1,018,764 : x
  2. Step 2: Convert to fraction form
    470,502/1,018,764 = 1,018,764/x
  3. Step 3: Cross multiply
    470,502x = 1,018,764 × 1,018,764
  4. Step 4: Simplify right side
    470,502x = 1,037,880,087,696
  5. Step 5: Solve for x
    x = 1,037,880,087,696/470,502
  6. Step 6: Final answer
    x = 2,205,899.42

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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.