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Finding the Third Proportional to 735,345 and 1,583,301

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Solution

The third proportional to 735,345 and 1,583,301 is: 3,409,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,345 : 1,583,301 = 1,583,301 : x
  2. Step 2: Convert to fraction form
    735,345/1,583,301 = 1,583,301/x
  3. Step 3: Cross multiply
    735,345x = 1,583,301 × 1,583,301
  4. Step 4: Simplify right side
    735,345x = 2,506,842,056,601
  5. Step 5: Solve for x
    x = 2,506,842,056,601/735,345
  6. Step 6: Final answer
    x = 3,409,069.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.