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Finding the Third Proportional to 535,257 and 1,159,253.81

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Solution

The third proportional to 535,257 and 1,159,253.81 is: 2,510,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,257 : 1,159,253.81 = 1,159,253.81 : x
  2. Step 2: Convert to fraction form
    535,257/1,159,253.81 = 1,159,253.81/x
  3. Step 3: Cross multiply
    535,257x = 1,159,253.81 × 1,159,253.81
  4. Step 4: Simplify right side
    535,257x = 1,343,869,401,795.79
  5. Step 5: Solve for x
    x = 1,343,869,401,795.79/535,257
  6. Step 6: Final answer
    x = 2,510,699.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.