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Finding the Third Proportional to 1,574,019 and 3,478,830

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Solution

The third proportional to 1,574,019 and 3,478,830 is: 7,688,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,019 : 3,478,830 = 3,478,830 : x
  2. Step 2: Convert to fraction form
    1,574,019/3,478,830 = 3,478,830/x
  3. Step 3: Cross multiply
    1,574,019x = 3,478,830 × 3,478,830
  4. Step 4: Simplify right side
    1,574,019x = 12,102,258,168,900
  5. Step 5: Solve for x
    x = 12,102,258,168,900/1,574,019
  6. Step 6: Final answer
    x = 7,688,762.44

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.