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Finding the Third Proportional to 674,433 and 1,411,222

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Solution

The third proportional to 674,433 and 1,411,222 is: 2,952,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,433 : 1,411,222 = 1,411,222 : x
  2. Step 2: Convert to fraction form
    674,433/1,411,222 = 1,411,222/x
  3. Step 3: Cross multiply
    674,433x = 1,411,222 × 1,411,222
  4. Step 4: Simplify right side
    674,433x = 1,991,547,533,284
  5. Step 5: Solve for x
    x = 1,991,547,533,284/674,433
  6. Step 6: Final answer
    x = 2,952,921.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.