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Finding the Third Proportional to 1,457,970 and 3,155,556

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Solution

The third proportional to 1,457,970 and 3,155,556 is: 6,829,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,970 : 3,155,556 = 3,155,556 : x
  2. Step 2: Convert to fraction form
    1,457,970/3,155,556 = 3,155,556/x
  3. Step 3: Cross multiply
    1,457,970x = 3,155,556 × 3,155,556
  4. Step 4: Simplify right side
    1,457,970x = 9,957,533,669,136
  5. Step 5: Solve for x
    x = 9,957,533,669,136/1,457,970
  6. Step 6: Final answer
    x = 6,829,724.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.