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Finding the Third Proportional to 2,030,430 and 4,514,734.50

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Solution

The third proportional to 2,030,430 and 4,514,734.50 is: 10,038,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,430 : 4,514,734.50 = 4,514,734.50 : x
  2. Step 2: Convert to fraction form
    2,030,430/4,514,734.50 = 4,514,734.50/x
  3. Step 3: Cross multiply
    2,030,430x = 4,514,734.50 × 4,514,734.50
  4. Step 4: Simplify right side
    2,030,430x = 20,382,827,605,490.25
  5. Step 5: Solve for x
    x = 20,382,827,605,490.25/2,030,430
  6. Step 6: Final answer
    x = 10,038,675.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.