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Finding the Third Proportional to 478,368 and 1,040,820

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Solution

The third proportional to 478,368 and 1,040,820 is: 2,264,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,368 : 1,040,820 = 1,040,820 : x
  2. Step 2: Convert to fraction form
    478,368/1,040,820 = 1,040,820/x
  3. Step 3: Cross multiply
    478,368x = 1,040,820 × 1,040,820
  4. Step 4: Simplify right side
    478,368x = 1,083,306,272,400
  5. Step 5: Solve for x
    x = 1,083,306,272,400/478,368
  6. Step 6: Final answer
    x = 2,264,587.67

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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.