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Finding the Third Proportional to 528,097 and 1,140,376

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Solution

The third proportional to 528,097 and 1,140,376 is: 2,462,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,097 : 1,140,376 = 1,140,376 : x
  2. Step 2: Convert to fraction form
    528,097/1,140,376 = 1,140,376/x
  3. Step 3: Cross multiply
    528,097x = 1,140,376 × 1,140,376
  4. Step 4: Simplify right side
    528,097x = 1,300,457,421,376
  5. Step 5: Solve for x
    x = 1,300,457,421,376/528,097
  6. Step 6: Final answer
    x = 2,462,535.14

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Why These Related Problems?

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