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Finding the Third Proportional to 763,098 and 1,506,990

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Solution

The third proportional to 763,098 and 1,506,990 is: 2,976,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,098 : 1,506,990 = 1,506,990 : x
  2. Step 2: Convert to fraction form
    763,098/1,506,990 = 1,506,990/x
  3. Step 3: Cross multiply
    763,098x = 1,506,990 × 1,506,990
  4. Step 4: Simplify right side
    763,098x = 2,271,018,860,100
  5. Step 5: Solve for x
    x = 2,271,018,860,100/763,098
  6. Step 6: Final answer
    x = 2,976,051.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.