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Finding the Third Proportional to 2,880,234 and 4,639,572

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Solution

The third proportional to 2,880,234 and 4,639,572 is: 7,473,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880,234 : 4,639,572 = 4,639,572 : x
  2. Step 2: Convert to fraction form
    2,880,234/4,639,572 = 4,639,572/x
  3. Step 3: Cross multiply
    2,880,234x = 4,639,572 × 4,639,572
  4. Step 4: Simplify right side
    2,880,234x = 21,525,628,343,184
  5. Step 5: Solve for x
    x = 21,525,628,343,184/2,880,234
  6. Step 6: Final answer
    x = 7,473,569.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.