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Finding the Third Proportional to 480,213 and 1,034,910

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Solution

The third proportional to 480,213 and 1,034,910 is: 2,230,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,213 : 1,034,910 = 1,034,910 : x
  2. Step 2: Convert to fraction form
    480,213/1,034,910 = 1,034,910/x
  3. Step 3: Cross multiply
    480,213x = 1,034,910 × 1,034,910
  4. Step 4: Simplify right side
    480,213x = 1,071,038,708,100
  5. Step 5: Solve for x
    x = 1,071,038,708,100/480,213
  6. Step 6: Final answer
    x = 2,230,340.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.