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Finding the Third Proportional to 560,106 and 836,502

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Solution

The third proportional to 560,106 and 836,502 is: 1,249,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,106 : 836,502 = 836,502 : x
  2. Step 2: Convert to fraction form
    560,106/836,502 = 836,502/x
  3. Step 3: Cross multiply
    560,106x = 836,502 × 836,502
  4. Step 4: Simplify right side
    560,106x = 699,735,596,004
  5. Step 5: Solve for x
    x = 699,735,596,004/560,106
  6. Step 6: Final answer
    x = 1,249,291.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.