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Finding the Third Proportional to 693,702 and 1,513,130.63

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Solution

The third proportional to 693,702 and 1,513,130.63 is: 3,300,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,702 : 1,513,130.63 = 1,513,130.63 : x
  2. Step 2: Convert to fraction form
    693,702/1,513,130.63 = 1,513,130.63/x
  3. Step 3: Cross multiply
    693,702x = 1,513,130.63 × 1,513,130.63
  4. Step 4: Simplify right side
    693,702x = 2,289,564,288,312.89
  5. Step 5: Solve for x
    x = 2,289,564,288,312.89/693,702
  6. Step 6: Final answer
    x = 3,300,501.21

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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.