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Finding the Third Proportional to 581,160,122 and 1,239,907,376

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Solution

The third proportional to 581,160,122 and 1,239,907,376 is: 2,645,347,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,160,122 : 1,239,907,376 = 1,239,907,376 : x
  2. Step 2: Convert to fraction form
    581,160,122/1,239,907,376 = 1,239,907,376/x
  3. Step 3: Cross multiply
    581,160,122x = 1,239,907,376 × 1,239,907,376
  4. Step 4: Simplify right side
    581,160,122x = 1,537,370,301,059,205,376
  5. Step 5: Solve for x
    x = 1,537,370,301,059,205,376/581,160,122
  6. Step 6: Final answer
    x = 2,645,347,199.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.