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Finding the Third Proportional to 452,804,034 and 679,685,312

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Solution

The third proportional to 452,804,034 and 679,685,312 is: 1,020,247,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,804,034 : 679,685,312 = 679,685,312 : x
  2. Step 2: Convert to fraction form
    452,804,034/679,685,312 = 679,685,312/x
  3. Step 3: Cross multiply
    452,804,034x = 679,685,312 × 679,685,312
  4. Step 4: Simplify right side
    452,804,034x = 461,972,123,348,537,344
  5. Step 5: Solve for x
    x = 461,972,123,348,537,344/452,804,034
  6. Step 6: Final answer
    x = 1,020,247,366.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.