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Finding the Third Proportional to 2,539,998 and 5,434,047

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Solution

The third proportional to 2,539,998 and 5,434,047 is: 11,625,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539,998 : 5,434,047 = 5,434,047 : x
  2. Step 2: Convert to fraction form
    2,539,998/5,434,047 = 5,434,047/x
  3. Step 3: Cross multiply
    2,539,998x = 5,434,047 × 5,434,047
  4. Step 4: Simplify right side
    2,539,998x = 29,528,866,798,209
  5. Step 5: Solve for x
    x = 29,528,866,798,209/2,539,998
  6. Step 6: Final answer
    x = 11,625,547.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.