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Finding the Third Proportional to 610,776 and 1,329,984

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Solution

The third proportional to 610,776 and 1,329,984 is: 2,896,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,776 : 1,329,984 = 1,329,984 : x
  2. Step 2: Convert to fraction form
    610,776/1,329,984 = 1,329,984/x
  3. Step 3: Cross multiply
    610,776x = 1,329,984 × 1,329,984
  4. Step 4: Simplify right side
    610,776x = 1,768,857,440,256
  5. Step 5: Solve for x
    x = 1,768,857,440,256/610,776
  6. Step 6: Final answer
    x = 2,896,082.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.