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Finding the Third Proportional to 488,054 and 1,038,316

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Solution

The third proportional to 488,054 and 1,038,316 is: 2,208,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,054 : 1,038,316 = 1,038,316 : x
  2. Step 2: Convert to fraction form
    488,054/1,038,316 = 1,038,316/x
  3. Step 3: Cross multiply
    488,054x = 1,038,316 × 1,038,316
  4. Step 4: Simplify right side
    488,054x = 1,078,100,115,856
  5. Step 5: Solve for x
    x = 1,078,100,115,856/488,054
  6. Step 6: Final answer
    x = 2,208,977.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.