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Finding the Third Proportional to 702,953 and 1,455,749

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Solution

The third proportional to 702,953 and 1,455,749 is: 3,014,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,953 : 1,455,749 = 1,455,749 : x
  2. Step 2: Convert to fraction form
    702,953/1,455,749 = 1,455,749/x
  3. Step 3: Cross multiply
    702,953x = 1,455,749 × 1,455,749
  4. Step 4: Simplify right side
    702,953x = 2,119,205,151,001
  5. Step 5: Solve for x
    x = 2,119,205,151,001/702,953
  6. Step 6: Final answer
    x = 3,014,718.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.