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Finding the Third Proportional to 1,355,130 and 2,946,447

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Solution

The third proportional to 1,355,130 and 2,946,447 is: 6,406,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,130 : 2,946,447 = 2,946,447 : x
  2. Step 2: Convert to fraction form
    1,355,130/2,946,447 = 2,946,447/x
  3. Step 3: Cross multiply
    1,355,130x = 2,946,447 × 2,946,447
  4. Step 4: Simplify right side
    1,355,130x = 8,681,549,923,809
  5. Step 5: Solve for x
    x = 8,681,549,923,809/1,355,130
  6. Step 6: Final answer
    x = 6,406,433.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.