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Finding the Third Proportional to 1,072,116 and 1,658,556

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Solution

The third proportional to 1,072,116 and 1,658,556 is: 2,565,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,116 : 1,658,556 = 1,658,556 : x
  2. Step 2: Convert to fraction form
    1,072,116/1,658,556 = 1,658,556/x
  3. Step 3: Cross multiply
    1,072,116x = 1,658,556 × 1,658,556
  4. Step 4: Simplify right side
    1,072,116x = 2,750,808,005,136
  5. Step 5: Solve for x
    x = 2,750,808,005,136/1,072,116
  6. Step 6: Final answer
    x = 2,565,774.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.