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Finding the Third Proportional to 2,912,746 and 4,369,120

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Solution

The third proportional to 2,912,746 and 4,369,120 is: 6,553,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,746 : 4,369,120 = 4,369,120 : x
  2. Step 2: Convert to fraction form
    2,912,746/4,369,120 = 4,369,120/x
  3. Step 3: Cross multiply
    2,912,746x = 4,369,120 × 4,369,120
  4. Step 4: Simplify right side
    2,912,746x = 19,089,209,574,400
  5. Step 5: Solve for x
    x = 19,089,209,574,400/2,912,746
  6. Step 6: Final answer
    x = 6,553,681.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.