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Finding the Third Proportional to 334,254,605 and 733,079,386

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Solution

The third proportional to 334,254,605 and 733,079,386 is: 1,607,772,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,254,605 : 733,079,386 = 733,079,386 : x
  2. Step 2: Convert to fraction form
    334,254,605/733,079,386 = 733,079,386/x
  3. Step 3: Cross multiply
    334,254,605x = 733,079,386 × 733,079,386
  4. Step 4: Simplify right side
    334,254,605x = 537,405,386,178,137,024
  5. Step 5: Solve for x
    x = 537,405,386,178,137,024/334,254,605
  6. Step 6: Final answer
    x = 1,607,772,572.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.