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Finding the Third Proportional to 1,065,368 and 2,282,360

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Solution

The third proportional to 1,065,368 and 2,282,360 is: 4,889,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,368 : 2,282,360 = 2,282,360 : x
  2. Step 2: Convert to fraction form
    1,065,368/2,282,360 = 2,282,360/x
  3. Step 3: Cross multiply
    1,065,368x = 2,282,360 × 2,282,360
  4. Step 4: Simplify right side
    1,065,368x = 5,209,167,169,600
  5. Step 5: Solve for x
    x = 5,209,167,169,600/1,065,368
  6. Step 6: Final answer
    x = 4,889,547.25

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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.