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Finding the Third Proportional to 649,912 and 1,402,582

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Solution

The third proportional to 649,912 and 1,402,582 is: 3,026,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,912 : 1,402,582 = 1,402,582 : x
  2. Step 2: Convert to fraction form
    649,912/1,402,582 = 1,402,582/x
  3. Step 3: Cross multiply
    649,912x = 1,402,582 × 1,402,582
  4. Step 4: Simplify right side
    649,912x = 1,967,236,266,724
  5. Step 5: Solve for x
    x = 1,967,236,266,724/649,912
  6. Step 6: Final answer
    x = 3,026,927.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.