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Finding the Third Proportional to 762,088 and 1,122,078

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Solution

The third proportional to 762,088 and 1,122,078 is: 1,652,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,088 : 1,122,078 = 1,122,078 : x
  2. Step 2: Convert to fraction form
    762,088/1,122,078 = 1,122,078/x
  3. Step 3: Cross multiply
    762,088x = 1,122,078 × 1,122,078
  4. Step 4: Simplify right side
    762,088x = 1,259,059,038,084
  5. Step 5: Solve for x
    x = 1,259,059,038,084/762,088
  6. Step 6: Final answer
    x = 1,652,117.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.