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Finding the Third Proportional to 713,846 and 1,051,032

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Solution

The third proportional to 713,846 and 1,051,032 is: 1,547,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,846 : 1,051,032 = 1,051,032 : x
  2. Step 2: Convert to fraction form
    713,846/1,051,032 = 1,051,032/x
  3. Step 3: Cross multiply
    713,846x = 1,051,032 × 1,051,032
  4. Step 4: Simplify right side
    713,846x = 1,104,668,265,024
  5. Step 5: Solve for x
    x = 1,104,668,265,024/713,846
  6. Step 6: Final answer
    x = 1,547,488.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.