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Finding the Third Proportional to 528,038 and 1,084,070

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Solution

The third proportional to 528,038 and 1,084,070 is: 2,225,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,038 : 1,084,070 = 1,084,070 : x
  2. Step 2: Convert to fraction form
    528,038/1,084,070 = 1,084,070/x
  3. Step 3: Cross multiply
    528,038x = 1,084,070 × 1,084,070
  4. Step 4: Simplify right side
    528,038x = 1,175,207,764,900
  5. Step 5: Solve for x
    x = 1,175,207,764,900/528,038
  6. Step 6: Final answer
    x = 2,225,612.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.