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Finding the Third Proportional to 594,811,376 and 1,288,440,160

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Solution

The third proportional to 594,811,376 and 1,288,440,160 is: 2,790,931,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,811,376 : 1,288,440,160 = 1,288,440,160 : x
  2. Step 2: Convert to fraction form
    594,811,376/1,288,440,160 = 1,288,440,160/x
  3. Step 3: Cross multiply
    594,811,376x = 1,288,440,160 × 1,288,440,160
  4. Step 4: Simplify right side
    594,811,376x = 1,660,078,045,900,825,600
  5. Step 5: Solve for x
    x = 1,660,078,045,900,825,600/594,811,376
  6. Step 6: Final answer
    x = 2,790,931,903.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.