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Finding the Third Proportional to 523,248 and 1,130,148

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Solution

The third proportional to 523,248 and 1,130,148 is: 2,440,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,248 : 1,130,148 = 1,130,148 : x
  2. Step 2: Convert to fraction form
    523,248/1,130,148 = 1,130,148/x
  3. Step 3: Cross multiply
    523,248x = 1,130,148 × 1,130,148
  4. Step 4: Simplify right side
    523,248x = 1,277,234,501,904
  5. Step 5: Solve for x
    x = 1,277,234,501,904/523,248
  6. Step 6: Final answer
    x = 2,440,973.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.