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Finding the Third Proportional to 1,021,896 and 1,547,046

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Solution

The third proportional to 1,021,896 and 1,547,046 is: 2,342,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,896 : 1,547,046 = 1,547,046 : x
  2. Step 2: Convert to fraction form
    1,021,896/1,547,046 = 1,547,046/x
  3. Step 3: Cross multiply
    1,021,896x = 1,547,046 × 1,547,046
  4. Step 4: Simplify right side
    1,021,896x = 2,393,351,326,116
  5. Step 5: Solve for x
    x = 2,393,351,326,116/1,021,896
  6. Step 6: Final answer
    x = 2,342,069.38

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