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Finding the Third Proportional to 788,616 and 1,223,370

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Solution

The third proportional to 788,616 and 1,223,370 is: 1,897,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,616 : 1,223,370 = 1,223,370 : x
  2. Step 2: Convert to fraction form
    788,616/1,223,370 = 1,223,370/x
  3. Step 3: Cross multiply
    788,616x = 1,223,370 × 1,223,370
  4. Step 4: Simplify right side
    788,616x = 1,496,634,156,900
  5. Step 5: Solve for x
    x = 1,496,634,156,900/788,616
  6. Step 6: Final answer
    x = 1,897,798.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.