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Finding the Third Proportional to 475,457 and 1,036,210

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Solution

The third proportional to 475,457 and 1,036,210 is: 2,258,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,457 : 1,036,210 = 1,036,210 : x
  2. Step 2: Convert to fraction form
    475,457/1,036,210 = 1,036,210/x
  3. Step 3: Cross multiply
    475,457x = 1,036,210 × 1,036,210
  4. Step 4: Simplify right side
    475,457x = 1,073,731,164,100
  5. Step 5: Solve for x
    x = 1,073,731,164,100/475,457
  6. Step 6: Final answer
    x = 2,258,313.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.