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Finding the Third Proportional to 703,879,911 and 1,034,271,564

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Solution

The third proportional to 703,879,911 and 1,034,271,564 is: 1,519,744,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,879,911 : 1,034,271,564 = 1,034,271,564 : x
  2. Step 2: Convert to fraction form
    703,879,911/1,034,271,564 = 1,034,271,564/x
  3. Step 3: Cross multiply
    703,879,911x = 1,034,271,564 × 1,034,271,564
  4. Step 4: Simplify right side
    703,879,911x = 1,069,717,668,099,006,080
  5. Step 5: Solve for x
    x = 1,069,717,668,099,006,080/703,879,911
  6. Step 6: Final answer
    x = 1,519,744,563.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.