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Finding the Third Proportional to 470,154 and 1,019,040

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Solution

The third proportional to 470,154 and 1,019,040 is: 2,208,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,154 : 1,019,040 = 1,019,040 : x
  2. Step 2: Convert to fraction form
    470,154/1,019,040 = 1,019,040/x
  3. Step 3: Cross multiply
    470,154x = 1,019,040 × 1,019,040
  4. Step 4: Simplify right side
    470,154x = 1,038,442,521,600
  5. Step 5: Solve for x
    x = 1,038,442,521,600/470,154
  6. Step 6: Final answer
    x = 2,208,728.46

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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.