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Finding the Third Proportional to 491,041,044 and 1,063,813,146

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Solution

The third proportional to 491,041,044 and 1,063,813,146 is: 2,304,692,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041,044 : 1,063,813,146 = 1,063,813,146 : x
  2. Step 2: Convert to fraction form
    491,041,044/1,063,813,146 = 1,063,813,146/x
  3. Step 3: Cross multiply
    491,041,044x = 1,063,813,146 × 1,063,813,146
  4. Step 4: Simplify right side
    491,041,044x = 1,131,698,409,602,417,280
  5. Step 5: Solve for x
    x = 1,131,698,409,602,417,280/491,041,044
  6. Step 6: Final answer
    x = 2,304,692,089.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.