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Finding the Third Proportional to 458,155 and 947,737

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Solution

The third proportional to 458,155 and 947,737 is: 1,960,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,155 : 947,737 = 947,737 : x
  2. Step 2: Convert to fraction form
    458,155/947,737 = 947,737/x
  3. Step 3: Cross multiply
    458,155x = 947,737 × 947,737
  4. Step 4: Simplify right side
    458,155x = 898,205,421,169
  5. Step 5: Solve for x
    x = 898,205,421,169/458,155
  6. Step 6: Final answer
    x = 1,960,483.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.