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Finding the Third Proportional to 2,457,534 and 3,686,304

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Solution

The third proportional to 2,457,534 and 3,686,304 is: 5,529,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,534 : 3,686,304 = 3,686,304 : x
  2. Step 2: Convert to fraction form
    2,457,534/3,686,304 = 3,686,304/x
  3. Step 3: Cross multiply
    2,457,534x = 3,686,304 × 3,686,304
  4. Step 4: Simplify right side
    2,457,534x = 13,588,837,180,416
  5. Step 5: Solve for x
    x = 13,588,837,180,416/2,457,534
  6. Step 6: Final answer
    x = 5,529,460.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.