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Finding the Third Proportional to 1,503,698 and 3,242,124

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Solution

The third proportional to 1,503,698 and 3,242,124 is: 6,990,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,698 : 3,242,124 = 3,242,124 : x
  2. Step 2: Convert to fraction form
    1,503,698/3,242,124 = 3,242,124/x
  3. Step 3: Cross multiply
    1,503,698x = 3,242,124 × 3,242,124
  4. Step 4: Simplify right side
    1,503,698x = 10,511,368,031,376
  5. Step 5: Solve for x
    x = 10,511,368,031,376/1,503,698
  6. Step 6: Final answer
    x = 6,990,345.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.