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Finding the Third Proportional to 1,232,253 and 2,696,409

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Solution

The third proportional to 1,232,253 and 2,696,409 is: 5,900,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,253 : 2,696,409 = 2,696,409 : x
  2. Step 2: Convert to fraction form
    1,232,253/2,696,409 = 2,696,409/x
  3. Step 3: Cross multiply
    1,232,253x = 2,696,409 × 2,696,409
  4. Step 4: Simplify right side
    1,232,253x = 7,270,621,495,281
  5. Step 5: Solve for x
    x = 7,270,621,495,281/1,232,253
  6. Step 6: Final answer
    x = 5,900,266.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.