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Finding the Third Proportional to 771,135 and 1,130,355

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Solution

The third proportional to 771,135 and 1,130,355 is: 1,656,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,135 : 1,130,355 = 1,130,355 : x
  2. Step 2: Convert to fraction form
    771,135/1,130,355 = 1,130,355/x
  3. Step 3: Cross multiply
    771,135x = 1,130,355 × 1,130,355
  4. Step 4: Simplify right side
    771,135x = 1,277,702,426,025
  5. Step 5: Solve for x
    x = 1,277,702,426,025/771,135
  6. Step 6: Final answer
    x = 1,656,911.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.