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Finding the Third Proportional to 610,257 and 919,840.50

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Solution

The third proportional to 610,257 and 919,840.50 is: 1,386,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,257 : 919,840.50 = 919,840.50 : x
  2. Step 2: Convert to fraction form
    610,257/919,840.50 = 919,840.50/x
  3. Step 3: Cross multiply
    610,257x = 919,840.50 × 919,840.50
  4. Step 4: Simplify right side
    610,257x = 846,106,545,440.25
  5. Step 5: Solve for x
    x = 846,106,545,440.25/610,257
  6. Step 6: Final answer
    x = 1,386,475.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.