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Finding the Third Proportional to 648,085 and 1,013,073

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Solution

The third proportional to 648,085 and 1,013,073 is: 1,583,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,085 : 1,013,073 = 1,013,073 : x
  2. Step 2: Convert to fraction form
    648,085/1,013,073 = 1,013,073/x
  3. Step 3: Cross multiply
    648,085x = 1,013,073 × 1,013,073
  4. Step 4: Simplify right side
    648,085x = 1,026,316,903,329
  5. Step 5: Solve for x
    x = 1,026,316,903,329/648,085
  6. Step 6: Final answer
    x = 1,583,614.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.