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Finding the Third Proportional to 528,140 and 1,140,457

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Solution

The third proportional to 528,140 and 1,140,457 is: 2,462,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,140 : 1,140,457 = 1,140,457 : x
  2. Step 2: Convert to fraction form
    528,140/1,140,457 = 1,140,457/x
  3. Step 3: Cross multiply
    528,140x = 1,140,457 × 1,140,457
  4. Step 4: Simplify right side
    528,140x = 1,300,642,168,849
  5. Step 5: Solve for x
    x = 1,300,642,168,849/528,140
  6. Step 6: Final answer
    x = 2,462,684.46

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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.