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Finding the Third Proportional to 735,007 and 1,106,786

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Solution

The third proportional to 735,007 and 1,106,786 is: 1,666,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,007 : 1,106,786 = 1,106,786 : x
  2. Step 2: Convert to fraction form
    735,007/1,106,786 = 1,106,786/x
  3. Step 3: Cross multiply
    735,007x = 1,106,786 × 1,106,786
  4. Step 4: Simplify right side
    735,007x = 1,224,975,249,796
  5. Step 5: Solve for x
    x = 1,224,975,249,796/735,007
  6. Step 6: Final answer
    x = 1,666,617.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.