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Finding the Third Proportional to 986,040 and 1,409,076

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Solution

The third proportional to 986,040 and 1,409,076 is: 2,013,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,040 : 1,409,076 = 1,409,076 : x
  2. Step 2: Convert to fraction form
    986,040/1,409,076 = 1,409,076/x
  3. Step 3: Cross multiply
    986,040x = 1,409,076 × 1,409,076
  4. Step 4: Simplify right side
    986,040x = 1,985,495,173,776
  5. Step 5: Solve for x
    x = 1,985,495,173,776/986,040
  6. Step 6: Final answer
    x = 2,013,605.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.