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Finding the Third Proportional to 249,589,890 and 556,537,446

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Solution

The third proportional to 249,589,890 and 556,537,446 is: 1,240,971,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,589,890 : 556,537,446 = 556,537,446 : x
  2. Step 2: Convert to fraction form
    249,589,890/556,537,446 = 556,537,446/x
  3. Step 3: Cross multiply
    249,589,890x = 556,537,446 × 556,537,446
  4. Step 4: Simplify right side
    249,589,890x = 309,733,928,800,202,944
  5. Step 5: Solve for x
    x = 309,733,928,800,202,944/249,589,890
  6. Step 6: Final answer
    x = 1,240,971,454.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.