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Finding the Third Proportional to 2,264,962.50 and 4,792,263.75

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Solution

The third proportional to 2,264,962.50 and 4,792,263.75 is: 10,139,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,962.50 : 4,792,263.75 = 4,792,263.75 : x
  2. Step 2: Convert to fraction form
    2,264,962.50/4,792,263.75 = 4,792,263.75/x
  3. Step 3: Cross multiply
    2,264,962.50x = 4,792,263.75 × 4,792,263.75
  4. Step 4: Simplify right side
    2,264,962.50x = 22,965,791,849,564.06
  5. Step 5: Solve for x
    x = 22,965,791,849,564.06/2,264,962.50
  6. Step 6: Final answer
    x = 10,139,590.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.