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Finding the Third Proportional to 284,398,368 and 609,107,466

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Solution

The third proportional to 284,398,368 and 609,107,466 is: 1,304,550,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398,368 : 609,107,466 = 609,107,466 : x
  2. Step 2: Convert to fraction form
    284,398,368/609,107,466 = 609,107,466/x
  3. Step 3: Cross multiply
    284,398,368x = 609,107,466 × 609,107,466
  4. Step 4: Simplify right side
    284,398,368x = 371,011,905,136,941,184
  5. Step 5: Solve for x
    x = 371,011,905,136,941,184/284,398,368
  6. Step 6: Final answer
    x = 1,304,550,049.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.