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Finding the Third Proportional to 779,737 and 1,240,580

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Solution

The third proportional to 779,737 and 1,240,580 is: 1,973,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,737 : 1,240,580 = 1,240,580 : x
  2. Step 2: Convert to fraction form
    779,737/1,240,580 = 1,240,580/x
  3. Step 3: Cross multiply
    779,737x = 1,240,580 × 1,240,580
  4. Step 4: Simplify right side
    779,737x = 1,539,038,736,400
  5. Step 5: Solve for x
    x = 1,539,038,736,400/779,737
  6. Step 6: Final answer
    x = 1,973,792.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.