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Finding the Third Proportional to 761,746 and 1,157,574

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Solution

The third proportional to 761,746 and 1,157,574 is: 1,759,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,746 : 1,157,574 = 1,157,574 : x
  2. Step 2: Convert to fraction form
    761,746/1,157,574 = 1,157,574/x
  3. Step 3: Cross multiply
    761,746x = 1,157,574 × 1,157,574
  4. Step 4: Simplify right side
    761,746x = 1,339,977,565,476
  5. Step 5: Solve for x
    x = 1,339,977,565,476/761,746
  6. Step 6: Final answer
    x = 1,759,087.10

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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.