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Finding the Third Proportional to 645,462 and 947,457

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Solution

The third proportional to 645,462 and 947,457 is: 1,390,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,462 : 947,457 = 947,457 : x
  2. Step 2: Convert to fraction form
    645,462/947,457 = 947,457/x
  3. Step 3: Cross multiply
    645,462x = 947,457 × 947,457
  4. Step 4: Simplify right side
    645,462x = 897,674,766,849
  5. Step 5: Solve for x
    x = 897,674,766,849/645,462
  6. Step 6: Final answer
    x = 1,390,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.