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Finding the Third Proportional to 584,220 and 1,196,072

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Solution

The third proportional to 584,220 and 1,196,072 is: 2,448,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,220 : 1,196,072 = 1,196,072 : x
  2. Step 2: Convert to fraction form
    584,220/1,196,072 = 1,196,072/x
  3. Step 3: Cross multiply
    584,220x = 1,196,072 × 1,196,072
  4. Step 4: Simplify right side
    584,220x = 1,430,588,229,184
  5. Step 5: Solve for x
    x = 1,430,588,229,184/584,220
  6. Step 6: Final answer
    x = 2,448,714.92

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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.