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Finding the Third Proportional to 430,436 and 942,706

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Solution

The third proportional to 430,436 and 942,706 is: 2,064,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,436 : 942,706 = 942,706 : x
  2. Step 2: Convert to fraction form
    430,436/942,706 = 942,706/x
  3. Step 3: Cross multiply
    430,436x = 942,706 × 942,706
  4. Step 4: Simplify right side
    430,436x = 888,694,602,436
  5. Step 5: Solve for x
    x = 888,694,602,436/430,436
  6. Step 6: Final answer
    x = 2,064,638.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.