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Finding the Third Proportional to 581,798 and 898,630

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Solution

The third proportional to 581,798 and 898,630 is: 1,388,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,798 : 898,630 = 898,630 : x
  2. Step 2: Convert to fraction form
    581,798/898,630 = 898,630/x
  3. Step 3: Cross multiply
    581,798x = 898,630 × 898,630
  4. Step 4: Simplify right side
    581,798x = 807,535,876,900
  5. Step 5: Solve for x
    x = 807,535,876,900/581,798
  6. Step 6: Final answer
    x = 1,388,000.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.