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Finding the Third Proportional to 537,604 and 885,222

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Solution

The third proportional to 537,604 and 885,222 is: 1,457,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,604 : 885,222 = 885,222 : x
  2. Step 2: Convert to fraction form
    537,604/885,222 = 885,222/x
  3. Step 3: Cross multiply
    537,604x = 885,222 × 885,222
  4. Step 4: Simplify right side
    537,604x = 783,617,989,284
  5. Step 5: Solve for x
    x = 783,617,989,284/537,604
  6. Step 6: Final answer
    x = 1,457,611.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.