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Finding the Third Proportional to 730,008 and 1,495,008

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Solution

The third proportional to 730,008 and 1,495,008 is: 3,061,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,008 : 1,495,008 = 1,495,008 : x
  2. Step 2: Convert to fraction form
    730,008/1,495,008 = 1,495,008/x
  3. Step 3: Cross multiply
    730,008x = 1,495,008 × 1,495,008
  4. Step 4: Simplify right side
    730,008x = 2,235,048,920,064
  5. Step 5: Solve for x
    x = 2,235,048,920,064/730,008
  6. Step 6: Final answer
    x = 3,061,677.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.