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Finding the Third Proportional to 944,556,706 and 1,481,596,506

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Solution

The third proportional to 944,556,706 and 1,481,596,506 is: 2,323,977,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,556,706 : 1,481,596,506 = 1,481,596,506 : x
  2. Step 2: Convert to fraction form
    944,556,706/1,481,596,506 = 1,481,596,506/x
  3. Step 3: Cross multiply
    944,556,706x = 1,481,596,506 × 1,481,596,506
  4. Step 4: Simplify right side
    944,556,706x = 2,195,128,206,591,408,128
  5. Step 5: Solve for x
    x = 2,195,128,206,591,408,128/944,556,706
  6. Step 6: Final answer
    x = 2,323,977,155.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.