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Finding the Third Proportional to 648,083 and 1,013,070

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Solution

The third proportional to 648,083 and 1,013,070 is: 1,583,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,083 : 1,013,070 = 1,013,070 : x
  2. Step 2: Convert to fraction form
    648,083/1,013,070 = 1,013,070/x
  3. Step 3: Cross multiply
    648,083x = 1,013,070 × 1,013,070
  4. Step 4: Simplify right side
    648,083x = 1,026,310,824,900
  5. Step 5: Solve for x
    x = 1,026,310,824,900/648,083
  6. Step 6: Final answer
    x = 1,583,610.16

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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.