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Finding the Third Proportional to 395,428 and 933,013

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Solution

The third proportional to 395,428 and 933,013 is: 2,201,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,428 : 933,013 = 933,013 : x
  2. Step 2: Convert to fraction form
    395,428/933,013 = 933,013/x
  3. Step 3: Cross multiply
    395,428x = 933,013 × 933,013
  4. Step 4: Simplify right side
    395,428x = 870,513,258,169
  5. Step 5: Solve for x
    x = 870,513,258,169/395,428
  6. Step 6: Final answer
    x = 2,201,445.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.