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Finding the Third Proportional to 1,157,013,684 and 1,762,590,804

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Solution

The third proportional to 1,157,013,684 and 1,762,590,804 is: 2,685,124,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,013,684 : 1,762,590,804 = 1,762,590,804 : x
  2. Step 2: Convert to fraction form
    1,157,013,684/1,762,590,804 = 1,762,590,804/x
  3. Step 3: Cross multiply
    1,157,013,684x = 1,762,590,804 × 1,762,590,804
  4. Step 4: Simplify right side
    1,157,013,684x = 3,106,726,342,345,366,528
  5. Step 5: Solve for x
    x = 3,106,726,342,345,366,528/1,157,013,684
  6. Step 6: Final answer
    x = 2,685,124,977.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.