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Finding the Third Proportional to 1,035,346,560 and 1,456,284,069

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Solution

The third proportional to 1,035,346,560 and 1,456,284,069 is: 2,048,360,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,346,560 : 1,456,284,069 = 1,456,284,069 : x
  2. Step 2: Convert to fraction form
    1,035,346,560/1,456,284,069 = 1,456,284,069/x
  3. Step 3: Cross multiply
    1,035,346,560x = 1,456,284,069 × 1,456,284,069
  4. Step 4: Simplify right side
    1,035,346,560x = 2,120,763,289,623,196,672
  5. Step 5: Solve for x
    x = 2,120,763,289,623,196,672/1,035,346,560
  6. Step 6: Final answer
    x = 2,048,360,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.