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Finding the Third Proportional to 947,497 and 1,457,840

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Solution

The third proportional to 947,497 and 1,457,840 is: 2,243,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,497 : 1,457,840 = 1,457,840 : x
  2. Step 2: Convert to fraction form
    947,497/1,457,840 = 1,457,840/x
  3. Step 3: Cross multiply
    947,497x = 1,457,840 × 1,457,840
  4. Step 4: Simplify right side
    947,497x = 2,125,297,465,600
  5. Step 5: Solve for x
    x = 2,125,297,465,600/947,497
  6. Step 6: Final answer
    x = 2,243,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.