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Finding the Third Proportional to 525,139 and 1,152,391

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Solution

The third proportional to 525,139 and 1,152,391 is: 2,528,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,139 : 1,152,391 = 1,152,391 : x
  2. Step 2: Convert to fraction form
    525,139/1,152,391 = 1,152,391/x
  3. Step 3: Cross multiply
    525,139x = 1,152,391 × 1,152,391
  4. Step 4: Simplify right side
    525,139x = 1,328,005,016,881
  5. Step 5: Solve for x
    x = 1,328,005,016,881/525,139
  6. Step 6: Final answer
    x = 2,528,863.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.