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Finding the Third Proportional to 561,536 and 916,840

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Solution

The third proportional to 561,536 and 916,840 is: 1,496,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,536 : 916,840 = 916,840 : x
  2. Step 2: Convert to fraction form
    561,536/916,840 = 916,840/x
  3. Step 3: Cross multiply
    561,536x = 916,840 × 916,840
  4. Step 4: Simplify right side
    561,536x = 840,595,585,600
  5. Step 5: Solve for x
    x = 840,595,585,600/561,536
  6. Step 6: Final answer
    x = 1,496,957.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.