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Finding the Third Proportional to 470,153 and 1,019,038

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Solution

The third proportional to 470,153 and 1,019,038 is: 2,208,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,153 : 1,019,038 = 1,019,038 : x
  2. Step 2: Convert to fraction form
    470,153/1,019,038 = 1,019,038/x
  3. Step 3: Cross multiply
    470,153x = 1,019,038 × 1,019,038
  4. Step 4: Simplify right side
    470,153x = 1,038,438,445,444
  5. Step 5: Solve for x
    x = 1,038,438,445,444/470,153
  6. Step 6: Final answer
    x = 2,208,724.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.