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Finding the Third Proportional to 5,406,420 and 7,558,506

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Solution

The third proportional to 5,406,420 and 7,558,506 is: 10,567,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406,420 : 7,558,506 = 7,558,506 : x
  2. Step 2: Convert to fraction form
    5,406,420/7,558,506 = 7,558,506/x
  3. Step 3: Cross multiply
    5,406,420x = 7,558,506 × 7,558,506
  4. Step 4: Simplify right side
    5,406,420x = 57,131,012,952,036
  5. Step 5: Solve for x
    x = 57,131,012,952,036/5,406,420
  6. Step 6: Final answer
    x = 10,567,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.