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Finding the Third Proportional to 797,220 and 1,210,590

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Solution

The third proportional to 797,220 and 1,210,590 is: 1,838,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,220 : 1,210,590 = 1,210,590 : x
  2. Step 2: Convert to fraction form
    797,220/1,210,590 = 1,210,590/x
  3. Step 3: Cross multiply
    797,220x = 1,210,590 × 1,210,590
  4. Step 4: Simplify right side
    797,220x = 1,465,528,148,100
  5. Step 5: Solve for x
    x = 1,465,528,148,100/797,220
  6. Step 6: Final answer
    x = 1,838,298.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.