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Finding the Third Proportional to 713,830 and 1,051,008

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Solution

The third proportional to 713,830 and 1,051,008 is: 1,547,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,830 : 1,051,008 = 1,051,008 : x
  2. Step 2: Convert to fraction form
    713,830/1,051,008 = 1,051,008/x
  3. Step 3: Cross multiply
    713,830x = 1,051,008 × 1,051,008
  4. Step 4: Simplify right side
    713,830x = 1,104,617,816,064
  5. Step 5: Solve for x
    x = 1,104,617,816,064/713,830
  6. Step 6: Final answer
    x = 1,547,452.22

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