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Finding the Third Proportional to 929,130 and 1,969,905

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Solution

The third proportional to 929,130 and 1,969,905 is: 4,176,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,130 : 1,969,905 = 1,969,905 : x
  2. Step 2: Convert to fraction form
    929,130/1,969,905 = 1,969,905/x
  3. Step 3: Cross multiply
    929,130x = 1,969,905 × 1,969,905
  4. Step 4: Simplify right side
    929,130x = 3,880,525,709,025
  5. Step 5: Solve for x
    x = 3,880,525,709,025/929,130
  6. Step 6: Final answer
    x = 4,176,515.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.